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Finding the Fourth Proportional to 347,756.20, 522,023.10 and 269,218.60

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Solution

The fourth proportional to 347,756.20, 522,023.10 and 269,218.60 is: 404,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,756.20 : 522,023.10 = 269,218.60 : x
  2. Step 2: Convert to fraction form
    347,756.20/522,023.10 = 269,218.60/x
  3. Step 3: Cross multiply
    347,756.20x = 522,023.10 × 269,218.60
  4. Step 4: Simplify right side
    347,756.20x = 140,538,328,149.66
  5. Step 5: Solve for x
    x = 140,538,328,149.66/347,756.20
  6. Step 6: Final answer
    x = 404,128.89

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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.