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Finding the Fourth Proportional to 543,223.20, 814,251.60 and 206,133.60

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Solution

The fourth proportional to 543,223.20, 814,251.60 and 206,133.60 is: 308,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,223.20 : 814,251.60 = 206,133.60 : x
  2. Step 2: Convert to fraction form
    543,223.20/814,251.60 = 206,133.60/x
  3. Step 3: Cross multiply
    543,223.20x = 814,251.60 × 206,133.60
  4. Step 4: Simplify right side
    543,223.20x = 167,844,613,613.76
  5. Step 5: Solve for x
    x = 167,844,613,613.76/543,223.20
  6. Step 6: Final answer
    x = 308,979.10

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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.