Finding the Fourth Proportional to 284,232.50, 392,242.11 and 156,909.14
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Solution
The fourth proportional to 284,232.50, 392,242.11 and 156,909.14 is: 216,535.31
Step by Step Solution
- Step 1: Write the proportion equation
284,232.50 : 392,242.11 = 156,909.14 : x - Step 2: Convert to fraction form
284,232.50/392,242.11 = 156,909.14/x - Step 3: Cross multiply
284,232.50x = 392,242.11 × 156,909.14 - Step 4: Simplify right side
284,232.50x = 61,546,372,740.22 - Step 5: Solve for x
x = 61,546,372,740.22/284,232.50 - Step 6: Final answer
x = 216,535.31
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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.