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Finding the Fourth Proportional to 512,498,234.80, 768,672,702.60 and 148,954,682.80

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Solution

The fourth proportional to 512,498,234.80, 768,672,702.60 and 148,954,682.80 is: 223,410,327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,498,234.80 : 768,672,702.60 = 148,954,682.80 : x
  2. Step 2: Convert to fraction form
    512,498,234.80/768,672,702.60 = 148,954,682.80/x
  3. Step 3: Cross multiply
    512,498,234.80x = 768,672,702.60 × 148,954,682.80
  4. Step 4: Simplify right side
    512,498,234.80x = 114,497,398,592,801,744
  5. Step 5: Solve for x
    x = 114,497,398,592,801,744/512,498,234.80
  6. Step 6: Final answer
    x = 223,410,327.72

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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.