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Finding the Fourth Proportional to 217,416.40, 325,687.20 and 123,812.80

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Solution

The fourth proportional to 217,416.40, 325,687.20 and 123,812.80 is: 185,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,416.40 : 325,687.20 = 123,812.80 : x
  2. Step 2: Convert to fraction form
    217,416.40/325,687.20 = 123,812.80/x
  3. Step 3: Cross multiply
    217,416.40x = 325,687.20 × 123,812.80
  4. Step 4: Simplify right side
    217,416.40x = 40,324,244,156.16
  5. Step 5: Solve for x
    x = 40,324,244,156.16/217,416.40
  6. Step 6: Final answer
    x = 185,470.11

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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.