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Finding the Fourth Proportional to 327,612.59, 491,418.43 and 102,992.66

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Solution

The fourth proportional to 327,612.59, 491,418.43 and 102,992.66 is: 154,488.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,612.59 : 491,418.43 = 102,992.66 : x
  2. Step 2: Convert to fraction form
    327,612.59/491,418.43 = 102,992.66/x
  3. Step 3: Cross multiply
    327,612.59x = 491,418.43 × 102,992.66
  4. Step 4: Simplify right side
    327,612.59x = 50,612,488,564.15
  5. Step 5: Solve for x
    x = 50,612,488,564.15/327,612.59
  6. Step 6: Final answer
    x = 154,488.84

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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.