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Finding the Fourth Proportional to 431,799.20, 647,468.40 and 182,199.20

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Solution

The fourth proportional to 431,799.20, 647,468.40 and 182,199.20 is: 273,201.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,799.20 : 647,468.40 = 182,199.20 : x
  2. Step 2: Convert to fraction form
    431,799.20/647,468.40 = 182,199.20/x
  3. Step 3: Cross multiply
    431,799.20x = 647,468.40 × 182,199.20
  4. Step 4: Simplify right side
    431,799.20x = 117,968,224,505.28
  5. Step 5: Solve for x
    x = 117,968,224,505.28/431,799.20
  6. Step 6: Final answer
    x = 273,201.58

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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.