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Finding the Fourth Proportional to 327,614.40, 491,421.60 and 127,941.30

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Solution

The fourth proportional to 327,614.40, 491,421.60 and 127,941.30 is: 191,911.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,614.40 : 491,421.60 = 127,941.30 : x
  2. Step 2: Convert to fraction form
    327,614.40/491,421.60 = 127,941.30/x
  3. Step 3: Cross multiply
    327,614.40x = 491,421.60 × 127,941.30
  4. Step 4: Simplify right side
    327,614.40x = 62,873,118,352.08
  5. Step 5: Solve for x
    x = 62,873,118,352.08/327,614.40
  6. Step 6: Final answer
    x = 191,911.95

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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.