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Finding the Fourth Proportional to 512,650.30, 768,745.05 and 197,002.30

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Solution

The fourth proportional to 512,650.30, 768,745.05 and 197,002.30 is: 295,414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,650.30 : 768,745.05 = 197,002.30 : x
  2. Step 2: Convert to fraction form
    512,650.30/768,745.05 = 197,002.30/x
  3. Step 3: Cross multiply
    512,650.30x = 768,745.05 × 197,002.30
  4. Step 4: Simplify right side
    512,650.30x = 151,444,542,963.62
  5. Step 5: Solve for x
    x = 151,444,542,963.62/512,650.30
  6. Step 6: Final answer
    x = 295,414.91

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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.