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Finding the Fourth Proportional to 543,229.70, 814,261.35 and 206,140.10

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Solution

The fourth proportional to 543,229.70, 814,261.35 and 206,140.10 is: 308,988.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,229.70 : 814,261.35 = 206,140.10 : x
  2. Step 2: Convert to fraction form
    543,229.70/814,261.35 = 206,140.10/x
  3. Step 3: Cross multiply
    543,229.70x = 814,261.35 × 206,140.10
  4. Step 4: Simplify right side
    543,229.70x = 167,851,916,115.14
  5. Step 5: Solve for x
    x = 167,851,916,115.14/543,229.70
  6. Step 6: Final answer
    x = 308,988.84

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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.