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Finding the Fourth Proportional to 543,021.57, 814,899.29 and 223,231.14

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Solution

The fourth proportional to 543,021.57, 814,899.29 and 223,231.14 is: 334,997.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,021.57 : 814,899.29 = 223,231.14 : x
  2. Step 2: Convert to fraction form
    543,021.57/814,899.29 = 223,231.14/x
  3. Step 3: Cross multiply
    543,021.57x = 814,899.29 × 223,231.14
  4. Step 4: Simplify right side
    543,021.57x = 181,910,896,375.74
  5. Step 5: Solve for x
    x = 181,910,896,375.74/543,021.57
  6. Step 6: Final answer
    x = 334,997.55

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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.