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Finding the Fourth Proportional to 206,279.88, 309,097.80 and 143,223

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Solution

The fourth proportional to 206,279.88, 309,097.80 and 143,223 is: 214,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,279.88 : 309,097.80 = 143,223 : x
  2. Step 2: Convert to fraction form
    206,279.88/309,097.80 = 143,223/x
  3. Step 3: Cross multiply
    206,279.88x = 309,097.80 × 143,223
  4. Step 4: Simplify right side
    206,279.88x = 44,269,914,209.40
  5. Step 5: Solve for x
    x = 44,269,914,209.40/206,279.88
  6. Step 6: Final answer
    x = 214,610.92

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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.