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Finding the Fourth Proportional to 512,419.60, 768,629.40 and 475,094.80

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Solution

The fourth proportional to 512,419.60, 768,629.40 and 475,094.80 is: 712,642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,419.60 : 768,629.40 = 475,094.80 : x
  2. Step 2: Convert to fraction form
    512,419.60/768,629.40 = 475,094.80/x
  3. Step 3: Cross multiply
    512,419.60x = 768,629.40 × 475,094.80
  4. Step 4: Simplify right side
    512,419.60x = 365,171,831,067.12
  5. Step 5: Solve for x
    x = 365,171,831,067.12/512,419.60
  6. Step 6: Final answer
    x = 712,642.20

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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.