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Finding the Fourth Proportional to 218,356.88, 327,516.50 and 132,945.60

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Solution

The fourth proportional to 218,356.88, 327,516.50 and 132,945.60 is: 199,406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,356.88 : 327,516.50 = 132,945.60 : x
  2. Step 2: Convert to fraction form
    218,356.88/327,516.50 = 132,945.60/x
  3. Step 3: Cross multiply
    218,356.88x = 327,516.50 × 132,945.60
  4. Step 4: Simplify right side
    218,356.88x = 43,541,877,602.40
  5. Step 5: Solve for x
    x = 43,541,877,602.40/218,356.88
  6. Step 6: Final answer
    x = 199,406.94

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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.