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Finding the Fourth Proportional to 285,847.66, 394,456.26 and 158,520.52

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Solution

The fourth proportional to 285,847.66, 394,456.26 and 158,520.52 is: 218,750.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,847.66 : 394,456.26 = 158,520.52 : x
  2. Step 2: Convert to fraction form
    285,847.66/394,456.26 = 158,520.52/x
  3. Step 3: Cross multiply
    285,847.66x = 394,456.26 × 158,520.52
  4. Step 4: Simplify right side
    285,847.66x = 62,529,411,452.46
  5. Step 5: Solve for x
    x = 62,529,411,452.46/285,847.66
  6. Step 6: Final answer
    x = 218,750.83

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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.