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Finding the Fourth Proportional to 393,902.17, 590,729.32 and 127,600.90

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Solution

The fourth proportional to 393,902.17, 590,729.32 and 127,600.90 is: 191,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,902.17 : 590,729.32 = 127,600.90 : x
  2. Step 2: Convert to fraction form
    393,902.17/590,729.32 = 127,600.90/x
  3. Step 3: Cross multiply
    393,902.17x = 590,729.32 × 127,600.90
  4. Step 4: Simplify right side
    393,902.17x = 75,377,591,571.07
  5. Step 5: Solve for x
    x = 75,377,591,571.07/393,902.17
  6. Step 6: Final answer
    x = 191,361.20

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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.