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Finding the Fourth Proportional to 408,023.84, 611,660.45 and 218,614.52

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Solution

The fourth proportional to 408,023.84, 611,660.45 and 218,614.52 is: 327,720.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,023.84 : 611,660.45 = 218,614.52 : x
  2. Step 2: Convert to fraction form
    408,023.84/611,660.45 = 218,614.52/x
  3. Step 3: Cross multiply
    408,023.84x = 611,660.45 × 218,614.52
  4. Step 4: Simplify right side
    408,023.84x = 133,717,853,167.97
  5. Step 5: Solve for x
    x = 133,717,853,167.97/408,023.84
  6. Step 6: Final answer
    x = 327,720.69

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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.