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Finding the Fourth Proportional to 285,478.31, 393,974.13 and 158,154.41

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Solution

The fourth proportional to 285,478.31, 393,974.13 and 158,154.41 is: 218,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,478.31 : 393,974.13 = 158,154.41 : x
  2. Step 2: Convert to fraction form
    285,478.31/393,974.13 = 158,154.41/x
  3. Step 3: Cross multiply
    285,478.31x = 393,974.13 × 158,154.41
  4. Step 4: Simplify right side
    285,478.31x = 62,308,744,115.54
  5. Step 5: Solve for x
    x = 62,308,744,115.54/285,478.31
  6. Step 6: Final answer
    x = 218,260.87

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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.