Finding the Fourth Proportional to 284,753.36, 392,967.84 and 157,437.16
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Solution
The fourth proportional to 284,753.36, 392,967.84 and 157,437.16 is: 217,267.82
Step by Step Solution
- Step 1: Write the proportion equation
284,753.36 : 392,967.84 = 157,437.16 : x - Step 2: Convert to fraction form
284,753.36/392,967.84 = 157,437.16/x - Step 3: Cross multiply
284,753.36x = 392,967.84 × 157,437.16 - Step 4: Simplify right side
284,753.36x = 61,867,740,700.93 - Step 5: Solve for x
x = 61,867,740,700.93/284,753.36 - Step 6: Final answer
x = 217,267.82
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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.