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Finding the Fourth Proportional to 308,251.75, 462,470.87 and 218,468.11

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Solution

The fourth proportional to 308,251.75, 462,470.87 and 218,468.11 is: 327,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,251.75 : 462,470.87 = 218,468.11 : x
  2. Step 2: Convert to fraction form
    308,251.75/462,470.87 = 218,468.11/x
  3. Step 3: Cross multiply
    308,251.75x = 462,470.87 × 218,468.11
  4. Step 4: Simplify right side
    308,251.75x = 101,035,136,898.96
  5. Step 5: Solve for x
    x = 101,035,136,898.96/308,251.75
  6. Step 6: Final answer
    x = 327,768.25

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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.