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Finding the Fourth Proportional to 408,654.72, 564,011.10 and 238,856.04

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Solution

The fourth proportional to 408,654.72, 564,011.10 and 238,856.04 is: 329,660.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,654.72 : 564,011.10 = 238,856.04 : x
  2. Step 2: Convert to fraction form
    408,654.72/564,011.10 = 238,856.04/x
  3. Step 3: Cross multiply
    408,654.72x = 564,011.10 × 238,856.04
  4. Step 4: Simplify right side
    408,654.72x = 134,717,457,862.04
  5. Step 5: Solve for x
    x = 134,717,457,862.04/408,654.72
  6. Step 6: Final answer
    x = 329,660.84

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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.