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Finding the Fourth Proportional to 285,512.81, 394,007.37 and 156,454.43

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Solution

The fourth proportional to 285,512.81, 394,007.37 and 156,454.43 is: 215,906.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,512.81 : 394,007.37 = 156,454.43 : x
  2. Step 2: Convert to fraction form
    285,512.81/394,007.37 = 156,454.43/x
  3. Step 3: Cross multiply
    285,512.81x = 394,007.37 × 156,454.43
  4. Step 4: Simplify right side
    285,512.81x = 61,644,198,489.15
  5. Step 5: Solve for x
    x = 61,644,198,489.15/285,512.81
  6. Step 6: Final answer
    x = 215,906.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.