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Finding the Fourth Proportional to 327,638.40, 491,457.60 and 127,965.30

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Solution

The fourth proportional to 327,638.40, 491,457.60 and 127,965.30 is: 191,947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,638.40 : 491,457.60 = 127,965.30 : x
  2. Step 2: Convert to fraction form
    327,638.40/491,457.60 = 127,965.30/x
  3. Step 3: Cross multiply
    327,638.40x = 491,457.60 × 127,965.30
  4. Step 4: Simplify right side
    327,638.40x = 62,889,519,221.28
  5. Step 5: Solve for x
    x = 62,889,519,221.28/327,638.40
  6. Step 6: Final answer
    x = 191,947.95

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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.