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Finding the Fourth Proportional to 276,517.80, 381,590.31 and 155,658.71

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Solution

The fourth proportional to 276,517.80, 381,590.31 and 155,658.71 is: 214,806.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,517.80 : 381,590.31 = 155,658.71 : x
  2. Step 2: Convert to fraction form
    276,517.80/381,590.31 = 155,658.71/x
  3. Step 3: Cross multiply
    276,517.80x = 381,590.31 × 155,658.71
  4. Step 4: Simplify right side
    276,517.80x = 59,397,853,495.15
  5. Step 5: Solve for x
    x = 59,397,853,495.15/276,517.80
  6. Step 6: Final answer
    x = 214,806.62

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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.