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Finding the Fourth Proportional to 323,853.20, 485,002.20 and 261,645.20

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Solution

The fourth proportional to 323,853.20, 485,002.20 and 261,645.20 is: 391,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,853.20 : 485,002.20 = 261,645.20 : x
  2. Step 2: Convert to fraction form
    323,853.20/485,002.20 = 261,645.20/x
  3. Step 3: Cross multiply
    323,853.20x = 485,002.20 × 261,645.20
  4. Step 4: Simplify right side
    323,853.20x = 126,898,497,619.44
  5. Step 5: Solve for x
    x = 126,898,497,619.44/323,853.20
  6. Step 6: Final answer
    x = 391,839.57

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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.