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Finding the Fourth Proportional to 278,043.72, 417,098 and 100,634.28

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Solution

The fourth proportional to 278,043.72, 417,098 and 100,634.28 is: 150,963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,043.72 : 417,098 = 100,634.28 : x
  2. Step 2: Convert to fraction form
    278,043.72/417,098 = 100,634.28/x
  3. Step 3: Cross multiply
    278,043.72x = 417,098 × 100,634.28
  4. Step 4: Simplify right side
    278,043.72x = 41,974,356,919.44
  5. Step 5: Solve for x
    x = 41,974,356,919.44/278,043.72
  6. Step 6: Final answer
    x = 150,963.15

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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.