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Finding the Fourth Proportional to 543,643.80, 815,174.10 and 227,743.80

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Solution

The fourth proportional to 543,643.80, 815,174.10 and 227,743.80 is: 341,493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,643.80 : 815,174.10 = 227,743.80 : x
  2. Step 2: Convert to fraction form
    543,643.80/815,174.10 = 227,743.80/x
  3. Step 3: Cross multiply
    543,643.80x = 815,174.10 × 227,743.80
  4. Step 4: Simplify right side
    543,643.80x = 185,650,847,195.58
  5. Step 5: Solve for x
    x = 185,650,847,195.58/543,643.80
  6. Step 6: Final answer
    x = 341,493.54

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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.