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Finding the Fourth Proportional to 543,354.80, 815,005.88 and 206,369.15

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Solution

The fourth proportional to 543,354.80, 815,005.88 and 206,369.15 is: 309,543.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,354.80 : 815,005.88 = 206,369.15 : x
  2. Step 2: Convert to fraction form
    543,354.80/815,005.88 = 206,369.15/x
  3. Step 3: Cross multiply
    543,354.80x = 815,005.88 × 206,369.15
  4. Step 4: Simplify right side
    543,354.80x = 168,192,065,593.73
  5. Step 5: Solve for x
    x = 168,192,065,593.73/543,354.80
  6. Step 6: Final answer
    x = 309,543.72

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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.