The designers of sport shoes assume that the force exerted on the soles of shoes in a jump shot is proportional to the weight of the person jumping. A 140-pound athlete exerts a force of 1960 pounds on his shoe soles when he returns to the court floor after a jump. Determine the force that a 270-pound professional basketball player exerts on the soles of his shoes when he returns to the court floor after shooting a jump shot.