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Finding the Fourth Proportional to 290,315.26, 435,523.92 and 132,559.66

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Solution

The fourth proportional to 290,315.26, 435,523.92 and 132,559.66 is: 198,862.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,315.26 : 435,523.92 = 132,559.66 : x
  2. Step 2: Convert to fraction form
    290,315.26/435,523.92 = 132,559.66/x
  3. Step 3: Cross multiply
    290,315.26x = 435,523.92 × 132,559.66
  4. Step 4: Simplify right side
    290,315.26x = 57,732,902,757.07
  5. Step 5: Solve for x
    x = 57,732,902,757.07/290,315.26
  6. Step 6: Final answer
    x = 198,862.79

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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.