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Finding the Fourth Proportional to 543,350.29, 814,999.13 and 206,364.64

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Solution

The fourth proportional to 543,350.29, 814,999.13 and 206,364.64 is: 309,536.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,350.29 : 814,999.13 = 206,364.64 : x
  2. Step 2: Convert to fraction form
    543,350.29/814,999.13 = 206,364.64/x
  3. Step 3: Cross multiply
    543,350.29x = 814,999.13 × 206,364.64
  4. Step 4: Simplify right side
    543,350.29x = 168,186,998,993.44
  5. Step 5: Solve for x
    x = 168,186,998,993.44/543,350.29
  6. Step 6: Final answer
    x = 309,536.97

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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.