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Finding the Fourth Proportional to 543,452.94, 815,105.46 and 206,578.38

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Solution

The fourth proportional to 543,452.94, 815,105.46 and 206,578.38 is: 309,839.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,452.94 : 815,105.46 = 206,578.38 : x
  2. Step 2: Convert to fraction form
    543,452.94/815,105.46 = 206,578.38/x
  3. Step 3: Cross multiply
    543,452.94x = 815,105.46 × 206,578.38
  4. Step 4: Simplify right side
    543,452.94x = 168,383,165,455.96
  5. Step 5: Solve for x
    x = 168,383,165,455.96/543,452.94
  6. Step 6: Final answer
    x = 309,839.46

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1.5x scale

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.