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Finding the Fourth Proportional to 327,161.89, 490,742.09 and 102,539.44

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Solution

The fourth proportional to 327,161.89, 490,742.09 and 102,539.44 is: 153,808.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,161.89 : 490,742.09 = 102,539.44 : x
  2. Step 2: Convert to fraction form
    327,161.89/490,742.09 = 102,539.44/x
  3. Step 3: Cross multiply
    327,161.89x = 490,742.09 × 102,539.44
  4. Step 4: Simplify right side
    327,161.89x = 50,320,418,580.33
  5. Step 5: Solve for x
    x = 50,320,418,580.33/327,161.89
  6. Step 6: Final answer
    x = 153,808.92

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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.