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Finding the Fourth Proportional to 268,251.49, 402,439.52 and 78,704.20

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Solution

The fourth proportional to 268,251.49, 402,439.52 and 78,704.20 is: 118,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,251.49 : 402,439.52 = 78,704.20 : x
  2. Step 2: Convert to fraction form
    268,251.49/402,439.52 = 78,704.20/x
  3. Step 3: Cross multiply
    268,251.49x = 402,439.52 × 78,704.20
  4. Step 4: Simplify right side
    268,251.49x = 31,673,680,469.98
  5. Step 5: Solve for x
    x = 31,673,680,469.98/268,251.49
  6. Step 6: Final answer
    x = 118,074.57

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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.