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Finding the Fourth Proportional to 292,428.27, 438,657.84 and 82,082.61

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Solution

The fourth proportional to 292,428.27, 438,657.84 and 82,082.61 is: 123,128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,428.27 : 438,657.84 = 82,082.61 : x
  2. Step 2: Convert to fraction form
    292,428.27/438,657.84 = 82,082.61/x
  3. Step 3: Cross multiply
    292,428.27x = 438,657.84 × 82,082.61
  4. Step 4: Simplify right side
    292,428.27x = 36,006,180,404.16
  5. Step 5: Solve for x
    x = 36,006,180,404.16/292,428.27
  6. Step 6: Final answer
    x = 123,128.25

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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.