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Finding the Fourth Proportional to 278,469.38, 417,712.26 and 68,107.32

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Solution

The fourth proportional to 278,469.38, 417,712.26 and 68,107.32 is: 102,162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,469.38 : 417,712.26 = 68,107.32 : x
  2. Step 2: Convert to fraction form
    278,469.38/417,712.26 = 68,107.32/x
  3. Step 3: Cross multiply
    278,469.38x = 417,712.26 × 68,107.32
  4. Step 4: Simplify right side
    278,469.38x = 28,449,262,559.74
  5. Step 5: Solve for x
    x = 28,449,262,559.74/278,469.38
  6. Step 6: Final answer
    x = 102,162.98

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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.