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Finding the Fourth Proportional to 396,978,051.60, 595,467,077.40 and 287,288,629.20

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Solution

The fourth proportional to 396,978,051.60, 595,467,077.40 and 287,288,629.20 is: 430,932,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,978,051.60 : 595,467,077.40 = 287,288,629.20 : x
  2. Step 2: Convert to fraction form
    396,978,051.60/595,467,077.40 = 287,288,629.20/x
  3. Step 3: Cross multiply
    396,978,051.60x = 595,467,077.40 × 287,288,629.20
  4. Step 4: Simplify right side
    396,978,051.60x = 171,070,920,399,976,288
  5. Step 5: Solve for x
    x = 171,070,920,399,976,288/396,978,051.60
  6. Step 6: Final answer
    x = 430,932,943.80

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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.