Mother of Ibrahim, Swaccha and Fattah has brought a basket with $1220$ mangoes. She distributed all the mangoes among her children, Ibrahim is $4$ years old, Swachha is $7$ years old and Fattah is $9$ years old. Their mother gave mangoes to everyone by multiplying their age by a certain number. The fixed number is the same for all. How many mangoes did Ibrahim get?