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Finding the Fourth Proportional to 820,180.80, 1,230,578.40 and 321,902.40

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Solution

The fourth proportional to 820,180.80, 1,230,578.40 and 321,902.40 is: 482,974.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,180.80 : 1,230,578.40 = 321,902.40 : x
  2. Step 2: Convert to fraction form
    820,180.80/1,230,578.40 = 321,902.40/x
  3. Step 3: Cross multiply
    820,180.80x = 1,230,578.40 × 321,902.40
  4. Step 4: Simplify right side
    820,180.80x = 396,126,140,348.16
  5. Step 5: Solve for x
    x = 396,126,140,348.16/820,180.80
  6. Step 6: Final answer
    x = 482,974.17

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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.