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Finding the Fourth Proportional to 278,123.46, 417,047.03 and 88,559.08

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Solution

The fourth proportional to 278,123.46, 417,047.03 and 88,559.08 is: 132,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,123.46 : 417,047.03 = 88,559.08 : x
  2. Step 2: Convert to fraction form
    278,123.46/417,047.03 = 88,559.08/x
  3. Step 3: Cross multiply
    278,123.46x = 417,047.03 × 88,559.08
  4. Step 4: Simplify right side
    278,123.46x = 36,933,299,208.30
  5. Step 5: Solve for x
    x = 36,933,299,208.30/278,123.46
  6. Step 6: Final answer
    x = 132,794.62

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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.