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Finding the Fourth Proportional to 278,818.65, 384,757.17 and 157,957.47

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Solution

The fourth proportional to 278,818.65, 384,757.17 and 157,957.47 is: 217,974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,818.65 : 384,757.17 = 157,957.47 : x
  2. Step 2: Convert to fraction form
    278,818.65/384,757.17 = 157,957.47/x
  3. Step 3: Cross multiply
    278,818.65x = 384,757.17 × 157,957.47
  4. Step 4: Simplify right side
    278,818.65x = 60,775,269,137.56
  5. Step 5: Solve for x
    x = 60,775,269,137.56/278,818.65
  6. Step 6: Final answer
    x = 217,974.19

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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.