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Finding the Fourth Proportional to 512,105.20, 766,408.20 and 449,119.60

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Solution

The fourth proportional to 512,105.20, 766,408.20 and 449,119.60 is: 672,144.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,105.20 : 766,408.20 = 449,119.60 : x
  2. Step 2: Convert to fraction form
    512,105.20/766,408.20 = 449,119.60/x
  3. Step 3: Cross multiply
    512,105.20x = 766,408.20 × 449,119.60
  4. Step 4: Simplify right side
    512,105.20x = 344,208,944,220.72
  5. Step 5: Solve for x
    x = 344,208,944,220.72/512,105.20
  6. Step 6: Final answer
    x = 672,144.99

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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.