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Finding the Fourth Proportional to 512,150.20, 767,246.10 and 275,414.20

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Solution

The fourth proportional to 512,150.20, 767,246.10 and 275,414.20 is: 412,594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,150.20 : 767,246.10 = 275,414.20 : x
  2. Step 2: Convert to fraction form
    512,150.20/767,246.10 = 275,414.20/x
  3. Step 3: Cross multiply
    512,150.20x = 767,246.10 × 275,414.20
  4. Step 4: Simplify right side
    512,150.20x = 211,310,470,834.62
  5. Step 5: Solve for x
    x = 211,310,470,834.62/512,150.20
  6. Step 6: Final answer
    x = 412,594.72

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1.5x scale

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.