Finding the Fourth Proportional to 516,202,563.40, 774,303,845.10 and 459,767,465.80
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Solution
The fourth proportional to 516,202,563.40, 774,303,845.10 and 459,767,465.80 is: 689,651,198.70
Step by Step Solution
- Step 1: Write the proportion equation
516,202,563.40 : 774,303,845.10 = 459,767,465.80 : x - Step 2: Convert to fraction form
516,202,563.40/774,303,845.10 = 459,767,465.80/x - Step 3: Cross multiply
516,202,563.40x = 774,303,845.10 × 459,767,465.80 - Step 4: Simplify right side
516,202,563.40x = 355,999,716,620,822,784 - Step 5: Solve for x
x = 355,999,716,620,822,784/516,202,563.40 - Step 6: Final answer
x = 689,651,198.70
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.