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Finding the Fourth Proportional to 381,978.47, 527,099.42 and 220,843.90

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Solution

The fourth proportional to 381,978.47, 527,099.42 and 220,843.90 is: 304,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,978.47 : 527,099.42 = 220,843.90 : x
  2. Step 2: Convert to fraction form
    381,978.47/527,099.42 = 220,843.90/x
  3. Step 3: Cross multiply
    381,978.47x = 527,099.42 × 220,843.90
  4. Step 4: Simplify right side
    381,978.47x = 116,406,690,834.90
  5. Step 5: Solve for x
    x = 116,406,690,834.90/381,978.47
  6. Step 6: Final answer
    x = 304,746.74

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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.