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Finding the Fourth Proportional to 324,209.80, 486,023.10 and 205,820.20

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Solution

The fourth proportional to 324,209.80, 486,023.10 and 205,820.20 is: 308,545.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,209.80 : 486,023.10 = 205,820.20 : x
  2. Step 2: Convert to fraction form
    324,209.80/486,023.10 = 205,820.20/x
  3. Step 3: Cross multiply
    324,209.80x = 486,023.10 × 205,820.20
  4. Step 4: Simplify right side
    324,209.80x = 100,033,371,646.62
  5. Step 5: Solve for x
    x = 100,033,371,646.62/324,209.80
  6. Step 6: Final answer
    x = 308,545.18

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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.