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Finding the Fourth Proportional to 327,650.40, 491,475.60 and 127,977.30

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Solution

The fourth proportional to 327,650.40, 491,475.60 and 127,977.30 is: 191,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,650.40 : 491,475.60 = 127,977.30 : x
  2. Step 2: Convert to fraction form
    327,650.40/491,475.60 = 127,977.30/x
  3. Step 3: Cross multiply
    327,650.40x = 491,475.60 × 127,977.30
  4. Step 4: Simplify right side
    327,650.40x = 62,897,720,303.88
  5. Step 5: Solve for x
    x = 62,897,720,303.88/327,650.40
  6. Step 6: Final answer
    x = 191,965.95

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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.