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Finding the Fourth Proportional to 512,310.10, 768,502.26 and 196,766.98

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Solution

The fourth proportional to 512,310.10, 768,502.26 and 196,766.98 is: 295,164.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,310.10 : 768,502.26 = 196,766.98 : x
  2. Step 2: Convert to fraction form
    512,310.10/768,502.26 = 196,766.98/x
  3. Step 3: Cross multiply
    512,310.10x = 768,502.26 × 196,766.98
  4. Step 4: Simplify right side
    512,310.10x = 151,215,868,823.38
  5. Step 5: Solve for x
    x = 151,215,868,823.38/512,310.10
  6. Step 6: Final answer
    x = 295,164.72

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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.