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Finding the Fourth Proportional to 526,715.92, 726,862.62 and 284,993.20

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Solution

The fourth proportional to 526,715.92, 726,862.62 and 284,993.20 is: 393,287.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,715.92 : 726,862.62 = 284,993.20 : x
  2. Step 2: Convert to fraction form
    526,715.92/726,862.62 = 284,993.20/x
  3. Step 3: Cross multiply
    526,715.92x = 726,862.62 × 284,993.20
  4. Step 4: Simplify right side
    526,715.92x = 207,150,904,034.18
  5. Step 5: Solve for x
    x = 207,150,904,034.18/526,715.92
  6. Step 6: Final answer
    x = 393,287.72

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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.