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Finding the Fourth Proportional to 501,687.54, 752,742.18 and 312,306.39

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Solution

The fourth proportional to 501,687.54, 752,742.18 and 312,306.39 is: 468,590.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,687.54 : 752,742.18 = 312,306.39 : x
  2. Step 2: Convert to fraction form
    501,687.54/752,742.18 = 312,306.39/x
  3. Step 3: Cross multiply
    501,687.54x = 752,742.18 × 312,306.39
  4. Step 4: Simplify right side
    501,687.54x = 235,086,192,836.53
  5. Step 5: Solve for x
    x = 235,086,192,836.53/501,687.54
  6. Step 6: Final answer
    x = 468,590.85

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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.