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Finding the Fourth Proportional to 543,640.26, 815,137.38 and 206,705.55

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Solution

The fourth proportional to 543,640.26, 815,137.38 and 206,705.55 is: 309,935.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,640.26 : 815,137.38 = 206,705.55 : x
  2. Step 2: Convert to fraction form
    543,640.26/815,137.38 = 206,705.55/x
  3. Step 3: Cross multiply
    543,640.26x = 815,137.38 × 206,705.55
  4. Step 4: Simplify right side
    543,640.26x = 168,493,420,458.46
  5. Step 5: Solve for x
    x = 168,493,420,458.46/543,640.26
  6. Step 6: Final answer
    x = 309,935.51

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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.