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Finding the Fourth Proportional to 290,309.28, 435,514.92 and 132,553.68

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Solution

The fourth proportional to 290,309.28, 435,514.92 and 132,553.68 is: 198,853.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,309.28 : 435,514.92 = 132,553.68 : x
  2. Step 2: Convert to fraction form
    290,309.28/435,514.92 = 132,553.68/x
  3. Step 3: Cross multiply
    290,309.28x = 435,514.92 × 132,553.68
  4. Step 4: Simplify right side
    290,309.28x = 57,729,105,340.91
  5. Step 5: Solve for x
    x = 57,729,105,340.91/290,309.28
  6. Step 6: Final answer
    x = 198,853.81

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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.