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Finding the Fourth Proportional to 218,456.46, 327,696.37 and 68,708.43

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Solution

The fourth proportional to 218,456.46, 327,696.37 and 68,708.43 is: 103,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,456.46 : 327,696.37 = 68,708.43 : x
  2. Step 2: Convert to fraction form
    218,456.46/327,696.37 = 68,708.43/x
  3. Step 3: Cross multiply
    218,456.46x = 327,696.37 × 68,708.43
  4. Step 4: Simplify right side
    218,456.46x = 22,515,501,289.15
  5. Step 5: Solve for x
    x = 22,515,501,289.15/218,456.46
  6. Step 6: Final answer
    x = 103,066.31

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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.