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Finding the Fourth Proportional to 278,902.74, 418,187.76 and 110,447.23

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Solution

The fourth proportional to 278,902.74, 418,187.76 and 110,447.23 is: 165,604.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,902.74 : 418,187.76 = 110,447.23 : x
  2. Step 2: Convert to fraction form
    278,902.74/418,187.76 = 110,447.23/x
  3. Step 3: Cross multiply
    278,902.74x = 418,187.76 × 110,447.23
  4. Step 4: Simplify right side
    278,902.74x = 46,187,679,711.90
  5. Step 5: Solve for x
    x = 46,187,679,711.90/278,902.74
  6. Step 6: Final answer
    x = 165,604.97

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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.