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Finding the Fourth Proportional to 489,329,233.60, 733,993,850.40 and 198,335,761.60

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Solution

The fourth proportional to 489,329,233.60, 733,993,850.40 and 198,335,761.60 is: 297,503,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,329,233.60 : 733,993,850.40 = 198,335,761.60 : x
  2. Step 2: Convert to fraction form
    489,329,233.60/733,993,850.40 = 198,335,761.60/x
  3. Step 3: Cross multiply
    489,329,233.60x = 733,993,850.40 × 198,335,761.60
  4. Step 4: Simplify right side
    489,329,233.60x = 145,577,229,328,800,448
  5. Step 5: Solve for x
    x = 145,577,229,328,800,448/489,329,233.60
  6. Step 6: Final answer
    x = 297,503,642.40

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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.