Finding the Fourth Proportional to 284,331,731.46, 426,654,973.70 and 138,766,498.62
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Solution
The fourth proportional to 284,331,731.46, 426,654,973.70 and 138,766,498.62 is: 208,226,554.65
Step by Step Solution
- Step 1: Write the proportion equation
284,331,731.46 : 426,654,973.70 = 138,766,498.62 : x - Step 2: Convert to fraction form
284,331,731.46/426,654,973.70 = 138,766,498.62/x - Step 3: Cross multiply
284,331,731.46x = 426,654,973.70 × 138,766,498.62 - Step 4: Simplify right side
284,331,731.46x = 59,205,416,819,157,184 - Step 5: Solve for x
x = 59,205,416,819,157,184/284,331,731.46 - Step 6: Final answer
x = 208,226,554.65
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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.