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Finding the Fourth Proportional to 285,902, 394,286.46 and 178,481.96

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Solution

The fourth proportional to 285,902, 394,286.46 and 178,481.96 is: 246,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,902 : 394,286.46 = 178,481.96 : x
  2. Step 2: Convert to fraction form
    285,902/394,286.46 = 178,481.96/x
  3. Step 3: Cross multiply
    285,902x = 394,286.46 × 178,481.96
  4. Step 4: Simplify right side
    285,902x = 70,373,020,182.26
  5. Step 5: Solve for x
    x = 70,373,020,182.26/285,902
  6. Step 6: Final answer
    x = 246,143.85

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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.