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Finding the Fourth Proportional to 285,791.38, 428,535.33 and 96,188.47

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Solution

The fourth proportional to 285,791.38, 428,535.33 and 96,188.47 is: 144,231.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,791.38 : 428,535.33 = 96,188.47 : x
  2. Step 2: Convert to fraction form
    285,791.38/428,535.33 = 96,188.47/x
  3. Step 3: Cross multiply
    285,791.38x = 428,535.33 × 96,188.47
  4. Step 4: Simplify right side
    285,791.38x = 41,220,157,733.65
  5. Step 5: Solve for x
    x = 41,220,157,733.65/285,791.38
  6. Step 6: Final answer
    x = 144,231.63

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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.