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Finding the Fourth Proportional to 512,102.20, 766,403.70 and 449,116.60

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Solution

The fourth proportional to 512,102.20, 766,403.70 and 449,116.60 is: 672,140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,102.20 : 766,403.70 = 449,116.60 : x
  2. Step 2: Convert to fraction form
    512,102.20/766,403.70 = 449,116.60/x
  3. Step 3: Cross multiply
    512,102.20x = 766,403.70 × 449,116.60
  4. Step 4: Simplify right side
    512,102.20x = 344,204,623,971.42
  5. Step 5: Solve for x
    x = 344,204,623,971.42/512,102.20
  6. Step 6: Final answer
    x = 672,140.49

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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.