Finding the Fourth Proportional to 1,542,543,593.25, 2,313,514,101.57 and 493,000,264.20
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Solution
The fourth proportional to 1,542,543,593.25, 2,313,514,101.57 and 493,000,264.20 is: 739,404,103.91
Step by Step Solution
- Step 1: Write the proportion equation
1,542,543,593.25 : 2,313,514,101.57 = 493,000,264.20 : x - Step 2: Convert to fraction form
1,542,543,593.25/2,313,514,101.57 = 493,000,264.20/x - Step 3: Cross multiply
1,542,543,593.25x = 2,313,514,101.57 × 493,000,264.20 - Step 4: Simplify right side
1,542,543,593.25x = 1,140,563,063,304,435,712 - Step 5: Solve for x
x = 1,140,563,063,304,435,712/1,542,543,593.25 - Step 6: Final answer
x = 739,404,103.91
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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.