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Finding the Fourth Proportional to 278,122.56, 416,150.42 and 165,863.85

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Solution

The fourth proportional to 278,122.56, 416,150.42 and 165,863.85 is: 248,179.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,122.56 : 416,150.42 = 165,863.85 : x
  2. Step 2: Convert to fraction form
    278,122.56/416,150.42 = 165,863.85/x
  3. Step 3: Cross multiply
    278,122.56x = 416,150.42 × 165,863.85
  4. Step 4: Simplify right side
    278,122.56x = 69,024,310,011.00
  5. Step 5: Solve for x
    x = 69,024,310,011.00/278,122.56
  6. Step 6: Final answer
    x = 248,179.47

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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.