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Finding the Fourth Proportional to 512,214.20, 766,571.70 and 449,228.60

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Solution

The fourth proportional to 512,214.20, 766,571.70 and 449,228.60 is: 672,308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,214.20 : 766,571.70 = 449,228.60 : x
  2. Step 2: Convert to fraction form
    512,214.20/766,571.70 = 449,228.60/x
  3. Step 3: Cross multiply
    512,214.20x = 766,571.70 × 449,228.60
  4. Step 4: Simplify right side
    512,214.20x = 344,365,931,590.62
  5. Step 5: Solve for x
    x = 344,365,931,590.62/512,214.20
  6. Step 6: Final answer
    x = 672,308.44

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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.