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Finding the Fourth Proportional to 393,971.43, 591,043.52 and 127,758.86

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Solution

The fourth proportional to 393,971.43, 591,043.52 and 127,758.86 is: 191,666.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,971.43 : 591,043.52 = 127,758.86 : x
  2. Step 2: Convert to fraction form
    393,971.43/591,043.52 = 127,758.86/x
  3. Step 3: Cross multiply
    393,971.43x = 591,043.52 × 127,758.86
  4. Step 4: Simplify right side
    393,971.43x = 75,511,046,325.59
  5. Step 5: Solve for x
    x = 75,511,046,325.59/393,971.43
  6. Step 6: Final answer
    x = 191,666.30

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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.