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Finding the Fourth Proportional to 285,897.92, 394,409.76 and 178,494.44

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Solution

The fourth proportional to 285,897.92, 394,409.76 and 178,494.44 is: 246,241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,897.92 : 394,409.76 = 178,494.44 : x
  2. Step 2: Convert to fraction form
    285,897.92/394,409.76 = 178,494.44/x
  3. Step 3: Cross multiply
    285,897.92x = 394,409.76 × 178,494.44
  4. Step 4: Simplify right side
    285,897.92x = 70,399,949,241.73
  5. Step 5: Solve for x
    x = 70,399,949,241.73/285,897.92
  6. Step 6: Final answer
    x = 246,241.56

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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.