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Finding the Fourth Proportional to 543,930.45, 815,772.69 and 206,850.98

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Solution

The fourth proportional to 543,930.45, 815,772.69 and 206,850.98 is: 310,229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,930.45 : 815,772.69 = 206,850.98 : x
  2. Step 2: Convert to fraction form
    543,930.45/815,772.69 = 206,850.98/x
  3. Step 3: Cross multiply
    543,930.45x = 815,772.69 × 206,850.98
  4. Step 4: Simplify right side
    543,930.45x = 168,743,376,304.87
  5. Step 5: Solve for x
    x = 168,743,376,304.87/543,930.45
  6. Step 6: Final answer
    x = 310,229.69

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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.