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Finding the Fourth Proportional to 278,331.06, 417,523.92 and 78,652.98

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Solution

The fourth proportional to 278,331.06, 417,523.92 and 78,652.98 is: 117,987.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,331.06 : 417,523.92 = 78,652.98 : x
  2. Step 2: Convert to fraction form
    278,331.06/417,523.92 = 78,652.98/x
  3. Step 3: Cross multiply
    278,331.06x = 417,523.92 × 78,652.98
  4. Step 4: Simplify right side
    278,331.06x = 32,839,500,529.28
  5. Step 5: Solve for x
    x = 32,839,500,529.28/278,331.06
  6. Step 6: Final answer
    x = 117,987.19

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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.