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Finding the Fourth Proportional to 512,174.80, 768,262.20 and 138,197.20

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Solution

The fourth proportional to 512,174.80, 768,262.20 and 138,197.20 is: 207,295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,174.80 : 768,262.20 = 138,197.20 : x
  2. Step 2: Convert to fraction form
    512,174.80/768,262.20 = 138,197.20/x
  3. Step 3: Cross multiply
    512,174.80x = 768,262.20 × 138,197.20
  4. Step 4: Simplify right side
    512,174.80x = 106,171,684,905.84
  5. Step 5: Solve for x
    x = 106,171,684,905.84/512,174.80
  6. Step 6: Final answer
    x = 207,295.80

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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.