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Finding the Fourth Proportional to 512,170.20, 767,276.10 and 275,434.20

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Solution

The fourth proportional to 512,170.20, 767,276.10 and 275,434.20 is: 412,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,170.20 : 767,276.10 = 275,434.20 : x
  2. Step 2: Convert to fraction form
    512,170.20/767,276.10 = 275,434.20/x
  3. Step 3: Cross multiply
    512,170.20x = 767,276.10 × 275,434.20
  4. Step 4: Simplify right side
    512,170.20x = 211,334,078,782.62
  5. Step 5: Solve for x
    x = 211,334,078,782.62/512,170.20
  6. Step 6: Final answer
    x = 412,624.71

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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.