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Finding the Fourth Proportional to 381,704.20, 572,556.30 and 213,742.60

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Solution

The fourth proportional to 381,704.20, 572,556.30 and 213,742.60 is: 320,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,704.20 : 572,556.30 = 213,742.60 : x
  2. Step 2: Convert to fraction form
    381,704.20/572,556.30 = 213,742.60/x
  3. Step 3: Cross multiply
    381,704.20x = 572,556.30 × 213,742.60
  4. Step 4: Simplify right side
    381,704.20x = 122,379,672,208.38
  5. Step 5: Solve for x
    x = 122,379,672,208.38/381,704.20
  6. Step 6: Final answer
    x = 320,613.90

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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.