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Finding the Fourth Proportional to 217,414.40, 325,718.40 and 123,641.60

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Solution

The fourth proportional to 217,414.40, 325,718.40 and 123,641.60 is: 185,233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,414.40 : 325,718.40 = 123,641.60 : x
  2. Step 2: Convert to fraction form
    217,414.40/325,718.40 = 123,641.60/x
  3. Step 3: Cross multiply
    217,414.40x = 325,718.40 × 123,641.60
  4. Step 4: Simplify right side
    217,414.40x = 40,272,344,125.44
  5. Step 5: Solve for x
    x = 40,272,344,125.44/217,414.40
  6. Step 6: Final answer
    x = 185,233.10

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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.