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Finding the Fourth Proportional to 491,990,959.80, 738,269,874.90 and 185,503,030.20

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Solution

The fourth proportional to 491,990,959.80, 738,269,874.90 and 185,503,030.20 is: 278,361,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,990,959.80 : 738,269,874.90 = 185,503,030.20 : x
  2. Step 2: Convert to fraction form
    491,990,959.80/738,269,874.90 = 185,503,030.20/x
  3. Step 3: Cross multiply
    491,990,959.80x = 738,269,874.90 × 185,503,030.20
  4. Step 4: Simplify right side
    491,990,959.80x = 136,951,298,899,324,912
  5. Step 5: Solve for x
    x = 136,951,298,899,324,912/491,990,959.80
  6. Step 6: Final answer
    x = 278,361,413.30

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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.