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Finding the Fourth Proportional to 278,379.71, 417,596.43 and 78,706.61

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Solution

The fourth proportional to 278,379.71, 417,596.43 and 78,706.61 is: 118,067.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,379.71 : 417,596.43 = 78,706.61 : x
  2. Step 2: Convert to fraction form
    278,379.71/417,596.43 = 78,706.61/x
  3. Step 3: Cross multiply
    278,379.71x = 417,596.43 × 78,706.61
  4. Step 4: Simplify right side
    278,379.71x = 32,867,599,353.40
  5. Step 5: Solve for x
    x = 32,867,599,353.40/278,379.71
  6. Step 6: Final answer
    x = 118,067.51

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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.