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Finding the Fourth Proportional to 204,458.40, 305,958.60 and 129,614.40

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Solution

The fourth proportional to 204,458.40, 305,958.60 and 129,614.40 is: 193,959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,458.40 : 305,958.60 = 129,614.40 : x
  2. Step 2: Convert to fraction form
    204,458.40/305,958.60 = 129,614.40/x
  3. Step 3: Cross multiply
    204,458.40x = 305,958.60 × 129,614.40
  4. Step 4: Simplify right side
    204,458.40x = 39,656,640,363.84
  5. Step 5: Solve for x
    x = 39,656,640,363.84/204,458.40
  6. Step 6: Final answer
    x = 193,959.46

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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.