Binnya Ran was a son of King Razadarit. After Razadarit's death, Binnya Dhammaraza became king. Binnya Ran and Binnya Kyan immediately revolted against their elder brother. Binnya Dhammaraza pacified Binnya Ran for a time by making him the heir-apparent and governor of Pathein (Bassein) and the entire Irrawaddy delta. Binnya Dhammaraza also pacified Binnya Kyan by making him governor of Martaban. But Binnya Ran was not satisfied. He soon extended his territory, and occupied Dagon (Yangon) in 1423. When Ava forces came to occupy Dala opposite Dagon, Binnya Ran presented his elder sister Shin Sawbu to Thihathu, and bought peace. Ava forces withdrew, ending the Forty Years' War between Ava and Hanthawaddy Pegu.

In 1424, Binnya Ran poisoned Binnya Dhammaraza and became the eleventh king of Hanthawaddy. His reign name, as reported in Mon language inscriptions, was Rama Razadarit (ရာမ ရာဇာဓိရာဇ်

As king, Binnya Ran allowed Binnya Kyan to remain as governor of Martaban where the latter exercised almost independent authority. He soon became involved with the dynastic intrigues of Ava Kingdom. In 1426, Mohnyin Thado ascended the Ava throne. In 1429, his sister Shin Sawbu fled secretly from Ava back to Pegu. Binnya Ran received his elder sister with great honor. In the same year, Thinkhaya III, the governor of Toungoo sought Binnya Ran's alliance against Ava by presenting a daughter. Binnya Ran agreed and attacked Prome (Pyay) together with Toungoo governor's forces. Mohnyin Thado broke up the alliance by giving a niece, Soe Min Wimala Dewi, to Binnya Ran. The Pegu king accepted the peace offer as he did not want renewed fighting.

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