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Finding the Fourth Proportional to 327,091.39, 490,636.69 and 102,469.32

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Solution

The fourth proportional to 327,091.39, 490,636.69 and 102,469.32 is: 153,703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,091.39 : 490,636.69 = 102,469.32 : x
  2. Step 2: Convert to fraction form
    327,091.39/490,636.69 = 102,469.32/x
  3. Step 3: Cross multiply
    327,091.39x = 490,636.69 × 102,469.32
  4. Step 4: Simplify right side
    327,091.39x = 50,275,207,991.35
  5. Step 5: Solve for x
    x = 50,275,207,991.35/327,091.39
  6. Step 6: Final answer
    x = 153,703.86

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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.