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Finding the Fourth Proportional to 408,023.46, 611,659.89 and 218,614.14

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Solution

The fourth proportional to 408,023.46, 611,659.89 and 218,614.14 is: 327,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,023.46 : 611,659.89 = 218,614.14 : x
  2. Step 2: Convert to fraction form
    408,023.46/611,659.89 = 218,614.14/x
  3. Step 3: Cross multiply
    408,023.46x = 611,659.89 × 218,614.14
  4. Step 4: Simplify right side
    408,023.46x = 133,717,500,824.85
  5. Step 5: Solve for x
    x = 133,717,500,824.85/408,023.46
  6. Step 6: Final answer
    x = 327,720.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.