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Finding the Fourth Proportional to 394,398, 591,471.72 and 128,096.88

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Solution

The fourth proportional to 394,398, 591,471.72 and 128,096.88 is: 192,104.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,398 : 591,471.72 = 128,096.88 : x
  2. Step 2: Convert to fraction form
    394,398/591,471.72 = 128,096.88/x
  3. Step 3: Cross multiply
    394,398x = 591,471.72 × 128,096.88
  4. Step 4: Simplify right side
    394,398x = 75,765,681,940.23
  5. Step 5: Solve for x
    x = 75,765,681,940.23/394,398
  6. Step 6: Final answer
    x = 192,104.63

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1.5x scale

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.