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Finding the Fourth Proportional to 543,234.70, 814,268.85 and 206,145.10

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Solution

The fourth proportional to 543,234.70, 814,268.85 and 206,145.10 is: 308,996.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,234.70 : 814,268.85 = 206,145.10 : x
  2. Step 2: Convert to fraction form
    543,234.70/814,268.85 = 206,145.10/x
  3. Step 3: Cross multiply
    543,234.70x = 814,268.85 × 206,145.10
  4. Step 4: Simplify right side
    543,234.70x = 167,857,533,510.14
  5. Step 5: Solve for x
    x = 167,857,533,510.14/543,234.70
  6. Step 6: Final answer
    x = 308,996.34

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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.