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Finding the Fourth Proportional to 217,710.27, 326,591.27 and 133,431.39

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Solution

The fourth proportional to 217,710.27, 326,591.27 and 133,431.39 is: 200,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,710.27 : 326,591.27 = 133,431.39 : x
  2. Step 2: Convert to fraction form
    217,710.27/326,591.27 = 133,431.39/x
  3. Step 3: Cross multiply
    217,710.27x = 326,591.27 × 133,431.39
  4. Step 4: Simplify right side
    217,710.27x = 43,577,526,450.81
  5. Step 5: Solve for x
    x = 43,577,526,450.81/217,710.27
  6. Step 6: Final answer
    x = 200,162.93

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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.