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Finding the Fourth Proportional to 278,232.52, 417,373.80 and 78,554.92

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Solution

The fourth proportional to 278,232.52, 417,373.80 and 78,554.92 is: 117,839.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,232.52 : 417,373.80 = 78,554.92 : x
  2. Step 2: Convert to fraction form
    278,232.52/417,373.80 = 78,554.92/x
  3. Step 3: Cross multiply
    278,232.52x = 417,373.80 × 78,554.92
  4. Step 4: Simplify right side
    278,232.52x = 32,786,765,469.10
  5. Step 5: Solve for x
    x = 32,786,765,469.10/278,232.52
  6. Step 6: Final answer
    x = 117,839.44

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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.