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Finding the Fourth Proportional to 305,930.97, 458,738.89 and 137,306.74

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Solution

The fourth proportional to 305,930.97, 458,738.89 and 137,306.74 is: 205,889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,930.97 : 458,738.89 = 137,306.74 : x
  2. Step 2: Convert to fraction form
    305,930.97/458,738.89 = 137,306.74/x
  3. Step 3: Cross multiply
    305,930.97x = 458,738.89 × 137,306.74
  4. Step 4: Simplify right side
    305,930.97x = 62,987,940,810.58
  5. Step 5: Solve for x
    x = 62,987,940,810.58/305,930.97
  6. Step 6: Final answer
    x = 205,889.39

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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.