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Finding the Fourth Proportional to 420,963.66, 580,956.66 and 239,691.42

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Solution

The fourth proportional to 420,963.66, 580,956.66 and 239,691.42 is: 330,789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,963.66 : 580,956.66 = 239,691.42 : x
  2. Step 2: Convert to fraction form
    420,963.66/580,956.66 = 239,691.42/x
  3. Step 3: Cross multiply
    420,963.66x = 580,956.66 × 239,691.42
  4. Step 4: Simplify right side
    420,963.66x = 139,250,326,793.86
  5. Step 5: Solve for x
    x = 139,250,326,793.86/420,963.66
  6. Step 6: Final answer
    x = 330,789.42

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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.