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Finding the Fourth Proportional to 512,128.20, 768,422.70 and 179,942.60

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Solution

The fourth proportional to 512,128.20, 768,422.70 and 179,942.60 is: 269,994.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,128.20 : 768,422.70 = 179,942.60 : x
  2. Step 2: Convert to fraction form
    512,128.20/768,422.70 = 179,942.60/x
  3. Step 3: Cross multiply
    512,128.20x = 768,422.70 × 179,942.60
  4. Step 4: Simplify right side
    512,128.20x = 138,271,978,537.02
  5. Step 5: Solve for x
    x = 138,271,978,537.02/512,128.20
  6. Step 6: Final answer
    x = 269,994.85

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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.