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Finding the Fourth Proportional to 408,780.34, 564,143.37 and 227,491.71

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Solution

The fourth proportional to 408,780.34, 564,143.37 and 227,491.71 is: 313,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,780.34 : 564,143.37 = 227,491.71 : x
  2. Step 2: Convert to fraction form
    408,780.34/564,143.37 = 227,491.71/x
  3. Step 3: Cross multiply
    408,780.34x = 564,143.37 × 227,491.71
  4. Step 4: Simplify right side
    408,780.34x = 128,337,936,957.83
  5. Step 5: Solve for x
    x = 128,337,936,957.83/408,780.34
  6. Step 6: Final answer
    x = 313,953.30

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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.