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Finding the Fourth Proportional to 308,571.87, 462,691.37 and 140,000.21

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Solution

The fourth proportional to 308,571.87, 462,691.37 and 140,000.21 is: 209,924.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,571.87 : 462,691.37 = 140,000.21 : x
  2. Step 2: Convert to fraction form
    308,571.87/462,691.37 = 140,000.21/x
  3. Step 3: Cross multiply
    308,571.87x = 462,691.37 × 140,000.21
  4. Step 4: Simplify right side
    308,571.87x = 64,776,885,951.73
  5. Step 5: Solve for x
    x = 64,776,885,951.73/308,571.87
  6. Step 6: Final answer
    x = 209,924.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.