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Finding the Fourth Proportional to 278,377.70, 417,565.38 and 100,843.16

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Solution

The fourth proportional to 278,377.70, 417,565.38 and 100,843.16 is: 151,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,377.70 : 417,565.38 = 100,843.16 : x
  2. Step 2: Convert to fraction form
    278,377.70/417,565.38 = 100,843.16/x
  3. Step 3: Cross multiply
    278,377.70x = 417,565.38 × 100,843.16
  4. Step 4: Simplify right side
    278,377.70x = 42,108,612,425.80
  5. Step 5: Solve for x
    x = 42,108,612,425.80/278,377.70
  6. Step 6: Final answer
    x = 151,264.32

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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.