Finding the Fourth Proportional to 472,392,406.20, 708,588,609.30 and 416,909,965.80
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Solution
The fourth proportional to 472,392,406.20, 708,588,609.30 and 416,909,965.80 is: 625,364,948.70
Step by Step Solution
- Step 1: Write the proportion equation
472,392,406.20 : 708,588,609.30 = 416,909,965.80 : x - Step 2: Convert to fraction form
472,392,406.20/708,588,609.30 = 416,909,965.80/x - Step 3: Cross multiply
472,392,406.20x = 708,588,609.30 × 416,909,965.80 - Step 4: Simplify right side
472,392,406.20x = 295,417,652,869,532,544 - Step 5: Solve for x
x = 295,417,652,869,532,544/472,392,406.20 - Step 6: Final answer
x = 625,364,948.70
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1.5x scale
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.