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Finding the Fourth Proportional to 408,055.90, 611,646.45 and 155,238.70

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Solution

The fourth proportional to 408,055.90, 611,646.45 and 155,238.70 is: 232,691.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,055.90 : 611,646.45 = 155,238.70 : x
  2. Step 2: Convert to fraction form
    408,055.90/611,646.45 = 155,238.70/x
  3. Step 3: Cross multiply
    408,055.90x = 611,646.45 × 155,238.70
  4. Step 4: Simplify right side
    408,055.90x = 94,951,199,757.62
  5. Step 5: Solve for x
    x = 94,951,199,757.62/408,055.90
  6. Step 6: Final answer
    x = 232,691.65

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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.