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Finding the Fourth Proportional to 278,229.35, 417,360.94 and 78,564.80

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Solution

The fourth proportional to 278,229.35, 417,360.94 and 78,564.80 is: 117,851.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,229.35 : 417,360.94 = 78,564.80 : x
  2. Step 2: Convert to fraction form
    278,229.35/417,360.94 = 78,564.80/x
  3. Step 3: Cross multiply
    278,229.35x = 417,360.94 × 78,564.80
  4. Step 4: Simplify right side
    278,229.35x = 32,789,876,692.11
  5. Step 5: Solve for x
    x = 32,789,876,692.11/278,229.35
  6. Step 6: Final answer
    x = 117,851.97

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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.