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Finding the Fourth Proportional to 285,909.50, 394,296.80 and 178,489.46

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Solution

The fourth proportional to 285,909.50, 394,296.80 and 178,489.46 is: 246,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,909.50 : 394,296.80 = 178,489.46 : x
  2. Step 2: Convert to fraction form
    285,909.50/394,296.80 = 178,489.46/x
  3. Step 3: Cross multiply
    285,909.50x = 394,296.80 × 178,489.46
  4. Step 4: Simplify right side
    285,909.50x = 70,377,822,911.73
  5. Step 5: Solve for x
    x = 70,377,822,911.73/285,909.50
  6. Step 6: Final answer
    x = 246,154.20

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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.