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Finding the Fourth Proportional to 278,034.16, 383,689.56 and 150,711.88

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Solution

The fourth proportional to 278,034.16, 383,689.56 and 150,711.88 is: 207,983.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,034.16 : 383,689.56 = 150,711.88 : x
  2. Step 2: Convert to fraction form
    278,034.16/383,689.56 = 150,711.88/x
  3. Step 3: Cross multiply
    278,034.16x = 383,689.56 × 150,711.88
  4. Step 4: Simplify right side
    278,034.16x = 57,826,574,923.97
  5. Step 5: Solve for x
    x = 57,826,574,923.97/278,034.16
  6. Step 6: Final answer
    x = 207,983.71

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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.