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Finding the Fourth Proportional to 323,855.20, 485,005.20 and 261,647.20

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Solution

The fourth proportional to 323,855.20, 485,005.20 and 261,647.20 is: 391,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,855.20 : 485,005.20 = 261,647.20 : x
  2. Step 2: Convert to fraction form
    323,855.20/485,005.20 = 261,647.20/x
  3. Step 3: Cross multiply
    323,855.20x = 485,005.20 × 261,647.20
  4. Step 4: Simplify right side
    323,855.20x = 126,900,252,565.44
  5. Step 5: Solve for x
    x = 126,900,252,565.44/323,855.20
  6. Step 6: Final answer
    x = 391,842.57

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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.