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Finding the Fourth Proportional to 321,647,957.68, 482,676,002.72 and 137,416,821.80

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Solution

The fourth proportional to 321,647,957.68, 482,676,002.72 and 137,416,821.80 is: 206,212,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,647,957.68 : 482,676,002.72 = 137,416,821.80 : x
  2. Step 2: Convert to fraction form
    321,647,957.68/482,676,002.72 = 137,416,821.80/x
  3. Step 3: Cross multiply
    321,647,957.68x = 482,676,002.72 × 137,416,821.80
  4. Step 4: Simplify right side
    321,647,957.68x = 66,327,802,252,910,568
  5. Step 5: Solve for x
    x = 66,327,802,252,910,568/321,647,957.68
  6. Step 6: Final answer
    x = 206,212,415.37

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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.