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Finding the Fourth Proportional to 278,227.24, 383,962.29 and 157,366.17

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Solution

The fourth proportional to 278,227.24, 383,962.29 and 157,366.17 is: 217,170.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,227.24 : 383,962.29 = 157,366.17 : x
  2. Step 2: Convert to fraction form
    278,227.24/383,962.29 = 157,366.17/x
  3. Step 3: Cross multiply
    278,227.24x = 383,962.29 × 157,366.17
  4. Step 4: Simplify right side
    278,227.24x = 60,422,675,001.73
  5. Step 5: Solve for x
    x = 60,422,675,001.73/278,227.24
  6. Step 6: Final answer
    x = 217,170.23

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