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Finding the Fourth Proportional to 278,425.88, 417,101.18 and 166,195.52

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Solution

The fourth proportional to 278,425.88, 417,101.18 and 166,195.52 is: 248,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,425.88 : 417,101.18 = 166,195.52 : x
  2. Step 2: Convert to fraction form
    278,425.88/417,101.18 = 166,195.52/x
  3. Step 3: Cross multiply
    278,425.88x = 417,101.18 × 166,195.52
  4. Step 4: Simplify right side
    278,425.88x = 69,320,347,502.71
  5. Step 5: Solve for x
    x = 69,320,347,502.71/278,425.88
  6. Step 6: Final answer
    x = 248,972.36

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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.