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Finding the Fourth Proportional to 512,441.60, 768,662.40 and 475,116.80

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Solution

The fourth proportional to 512,441.60, 768,662.40 and 475,116.80 is: 712,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,441.60 : 768,662.40 = 475,116.80 : x
  2. Step 2: Convert to fraction form
    512,441.60/768,662.40 = 475,116.80/x
  3. Step 3: Cross multiply
    512,441.60x = 768,662.40 × 475,116.80
  4. Step 4: Simplify right side
    512,441.60x = 365,204,419,768.32
  5. Step 5: Solve for x
    x = 365,204,419,768.32/512,441.60
  6. Step 6: Final answer
    x = 712,675.20

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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.