Finding the Fourth Proportional to 284,542.90, 392,677.12 and 157,226.74
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Solution
The fourth proportional to 284,542.90, 392,677.12 and 157,226.74 is: 216,977.28
Step by Step Solution
- Step 1: Write the proportion equation
284,542.90 : 392,677.12 = 157,226.74 : x - Step 2: Convert to fraction form
284,542.90/392,677.12 = 157,226.74/x - Step 3: Cross multiply
284,542.90x = 392,677.12 × 157,226.74 - Step 4: Simplify right side
284,542.90x = 61,739,343,450.19 - Step 5: Solve for x
x = 61,739,343,450.19/284,542.90 - Step 6: Final answer
x = 216,977.28
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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.