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Finding the Fourth Proportional to 394,512.80, 591,380.40 and 194,669.60

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Solution

The fourth proportional to 394,512.80, 591,380.40 and 194,669.60 is: 291,812.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,512.80 : 591,380.40 = 194,669.60 : x
  2. Step 2: Convert to fraction form
    394,512.80/591,380.40 = 194,669.60/x
  3. Step 3: Cross multiply
    394,512.80x = 591,380.40 × 194,669.60
  4. Step 4: Simplify right side
    394,512.80x = 115,123,785,915.84
  5. Step 5: Solve for x
    x = 115,123,785,915.84/394,512.80
  6. Step 6: Final answer
    x = 291,812.55

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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.