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Finding the Fourth Proportional to 382,139.28, 527,362.92 and 220,978.80

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Solution

The fourth proportional to 382,139.28, 527,362.92 and 220,978.80 is: 304,956.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,139.28 : 527,362.92 = 220,978.80 : x
  2. Step 2: Convert to fraction form
    382,139.28/527,362.92 = 220,978.80/x
  3. Step 3: Cross multiply
    382,139.28x = 527,362.92 × 220,978.80
  4. Step 4: Simplify right side
    382,139.28x = 116,536,025,226.10
  5. Step 5: Solve for x
    x = 116,536,025,226.10/382,139.28
  6. Step 6: Final answer
    x = 304,956.94

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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.