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Finding the Fourth Proportional to 278,763.12, 384,716.52 and 157,942.80

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Solution

The fourth proportional to 278,763.12, 384,716.52 and 157,942.80 is: 217,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,763.12 : 384,716.52 = 157,942.80 : x
  2. Step 2: Convert to fraction form
    278,763.12/384,716.52 = 157,942.80/x
  3. Step 3: Cross multiply
    278,763.12x = 384,716.52 × 157,942.80
  4. Step 4: Simplify right side
    278,763.12x = 60,763,204,375.06
  5. Step 5: Solve for x
    x = 60,763,204,375.06/278,763.12
  6. Step 6: Final answer
    x = 217,974.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.