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Finding the Fourth Proportional to 278,456.70, 417,732.44 and 109,888.82

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Solution

The fourth proportional to 278,456.70, 417,732.44 and 109,888.82 is: 164,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,456.70 : 417,732.44 = 109,888.82 : x
  2. Step 2: Convert to fraction form
    278,456.70/417,732.44 = 109,888.82/x
  3. Step 3: Cross multiply
    278,456.70x = 417,732.44 × 109,888.82
  4. Step 4: Simplify right side
    278,456.70x = 45,904,122,269.21
  5. Step 5: Solve for x
    x = 45,904,122,269.21/278,456.70
  6. Step 6: Final answer
    x = 164,851.92

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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.