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Finding the Fourth Proportional to 393,671, 590,600.16 and 127,431.56

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Solution

The fourth proportional to 393,671, 590,600.16 and 127,431.56 is: 191,177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,671 : 590,600.16 = 127,431.56 : x
  2. Step 2: Convert to fraction form
    393,671/590,600.16 = 127,431.56/x
  3. Step 3: Cross multiply
    393,671x = 590,600.16 × 127,431.56
  4. Step 4: Simplify right side
    393,671x = 75,261,099,725.05
  5. Step 5: Solve for x
    x = 75,261,099,725.05/393,671
  6. Step 6: Final answer
    x = 191,177.66

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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.