Finding the Fourth Proportional to 542,221,639.40, 748,573,137.12 and 414,822,629.12
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Solution
The fourth proportional to 542,221,639.40, 748,573,137.12 and 414,822,629.12 is: 572,690,306.44
Step by Step Solution
- Step 1: Write the proportion equation
542,221,639.40 : 748,573,137.12 = 414,822,629.12 : x - Step 2: Convert to fraction form
542,221,639.40/748,573,137.12 = 414,822,629.12/x - Step 3: Cross multiply
542,221,639.40x = 748,573,137.12 × 414,822,629.12 - Step 4: Simplify right side
542,221,639.40x = 310,525,076,828,724,672 - Step 5: Solve for x
x = 310,525,076,828,724,672/542,221,639.40 - Step 6: Final answer
x = 572,690,306.44
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.