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Finding the Fourth Proportional to 512,174.70, 766,512.45 and 449,189.10

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Solution

The fourth proportional to 512,174.70, 766,512.45 and 449,189.10 is: 672,249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,174.70 : 766,512.45 = 449,189.10 : x
  2. Step 2: Convert to fraction form
    512,174.70/766,512.45 = 449,189.10/x
  3. Step 3: Cross multiply
    512,174.70x = 766,512.45 × 449,189.10
  4. Step 4: Simplify right side
    512,174.70x = 344,309,037,554.30
  5. Step 5: Solve for x
    x = 344,309,037,554.30/512,174.70
  6. Step 6: Final answer
    x = 672,249.21

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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.