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Finding the Fourth Proportional to 285,791.42, 428,708.09 and 96,250.82

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Solution

The fourth proportional to 285,791.42, 428,708.09 and 96,250.82 is: 144,383.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,791.42 : 428,708.09 = 96,250.82 : x
  2. Step 2: Convert to fraction form
    285,791.42/428,708.09 = 96,250.82/x
  3. Step 3: Cross multiply
    285,791.42x = 428,708.09 × 96,250.82
  4. Step 4: Simplify right side
    285,791.42x = 41,263,503,300.22
  5. Step 5: Solve for x
    x = 41,263,503,300.22/285,791.42
  6. Step 6: Final answer
    x = 144,383.28

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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.