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Finding the Fourth Proportional to 305,456.62, 458,337.63 and 137,097.31

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Solution

The fourth proportional to 305,456.62, 458,337.63 and 137,097.31 is: 205,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,456.62 : 458,337.63 = 137,097.31 : x
  2. Step 2: Convert to fraction form
    305,456.62/458,337.63 = 137,097.31/x
  3. Step 3: Cross multiply
    305,456.62x = 458,337.63 × 137,097.31
  4. Step 4: Simplify right side
    305,456.62x = 62,836,856,144.78
  5. Step 5: Solve for x
    x = 62,836,856,144.78/305,456.62
  6. Step 6: Final answer
    x = 205,714.50

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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.