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Finding the Fourth Proportional to 278,104.35, 383,791.56 and 157,263.71

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Solution

The fourth proportional to 278,104.35, 383,791.56 and 157,263.71 is: 217,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,104.35 : 383,791.56 = 157,263.71 : x
  2. Step 2: Convert to fraction form
    278,104.35/383,791.56 = 157,263.71/x
  3. Step 3: Cross multiply
    278,104.35x = 383,791.56 × 157,263.71
  4. Step 4: Simplify right side
    278,104.35x = 60,356,486,635.57
  5. Step 5: Solve for x
    x = 60,356,486,635.57/278,104.35
  6. Step 6: Final answer
    x = 217,028.20

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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.