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Finding the Fourth Proportional to 512,246.16, 768,452.40 and 192,422.70

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Solution

The fourth proportional to 512,246.16, 768,452.40 and 192,422.70 is: 288,665.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,246.16 : 768,452.40 = 192,422.70 : x
  2. Step 2: Convert to fraction form
    512,246.16/768,452.40 = 192,422.70/x
  3. Step 3: Cross multiply
    512,246.16x = 768,452.40 × 192,422.70
  4. Step 4: Simplify right side
    512,246.16x = 147,867,685,629.48
  5. Step 5: Solve for x
    x = 147,867,685,629.48/512,246.16
  6. Step 6: Final answer
    x = 288,665.29

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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.