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Finding the Fourth Proportional to 396,656,906.40, 594,985,359.60 and 235,413,770.40

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Solution

The fourth proportional to 396,656,906.40, 594,985,359.60 and 235,413,770.40 is: 353,120,655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,656,906.40 : 594,985,359.60 = 235,413,770.40 : x
  2. Step 2: Convert to fraction form
    396,656,906.40/594,985,359.60 = 235,413,770.40/x
  3. Step 3: Cross multiply
    396,656,906.40x = 594,985,359.60 × 235,413,770.40
  4. Step 4: Simplify right side
    396,656,906.40x = 140,067,746,836,235,840
  5. Step 5: Solve for x
    x = 140,067,746,836,235,840/396,656,906.40
  6. Step 6: Final answer
    x = 353,120,655.60

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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.