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Finding the Fourth Proportional to 285,299.25, 393,708.15 and 157,972.11

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Solution

The fourth proportional to 285,299.25, 393,708.15 and 157,972.11 is: 217,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,299.25 : 393,708.15 = 157,972.11 : x
  2. Step 2: Convert to fraction form
    285,299.25/393,708.15 = 157,972.11/x
  3. Step 3: Cross multiply
    285,299.25x = 393,708.15 × 157,972.11
  4. Step 4: Simplify right side
    285,299.25x = 62,194,907,179.70
  5. Step 5: Solve for x
    x = 62,194,907,179.70/285,299.25
  6. Step 6: Final answer
    x = 217,998.85

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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.