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Finding the Fourth Proportional to 278,174.88, 417,314.19 and 126,382.59

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Solution

The fourth proportional to 278,174.88, 417,314.19 and 126,382.59 is: 189,597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,174.88 : 417,314.19 = 126,382.59 : x
  2. Step 2: Convert to fraction form
    278,174.88/417,314.19 = 126,382.59/x
  3. Step 3: Cross multiply
    278,174.88x = 417,314.19 × 126,382.59
  4. Step 4: Simplify right side
    278,174.88x = 52,741,248,175.95
  5. Step 5: Solve for x
    x = 52,741,248,175.95/278,174.88
  6. Step 6: Final answer
    x = 189,597.45

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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.