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Finding the Fourth Proportional to 394,414.60, 591,297.90 and 169,947.40

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Solution

The fourth proportional to 394,414.60, 591,297.90 and 169,947.40 is: 254,781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,414.60 : 591,297.90 = 169,947.40 : x
  2. Step 2: Convert to fraction form
    394,414.60/591,297.90 = 169,947.40/x
  3. Step 3: Cross multiply
    394,414.60x = 591,297.90 × 169,947.40
  4. Step 4: Simplify right side
    394,414.60x = 100,489,540,730.46
  5. Step 5: Solve for x
    x = 100,489,540,730.46/394,414.60
  6. Step 6: Final answer
    x = 254,781.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.