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Finding the Fourth Proportional to 278,505.84, 417,761.04 and 78,832.80

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Solution

The fourth proportional to 278,505.84, 417,761.04 and 78,832.80 is: 118,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,505.84 : 417,761.04 = 78,832.80 : x
  2. Step 2: Convert to fraction form
    278,505.84/417,761.04 = 78,832.80/x
  3. Step 3: Cross multiply
    278,505.84x = 417,761.04 × 78,832.80
  4. Step 4: Simplify right side
    278,505.84x = 32,933,272,514.11
  5. Step 5: Solve for x
    x = 32,933,272,514.11/278,505.84
  6. Step 6: Final answer
    x = 118,249.85

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1.5x scale

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.