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Finding the Fourth Proportional to 320,668,609.80, 481,002,914.70 and 274,752,107.40

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Solution

The fourth proportional to 320,668,609.80, 481,002,914.70 and 274,752,107.40 is: 412,128,161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,668,609.80 : 481,002,914.70 = 274,752,107.40 : x
  2. Step 2: Convert to fraction form
    320,668,609.80/481,002,914.70 = 274,752,107.40/x
  3. Step 3: Cross multiply
    320,668,609.80x = 481,002,914.70 × 274,752,107.40
  4. Step 4: Simplify right side
    320,668,609.80x = 132,156,564,479,367,424
  5. Step 5: Solve for x
    x = 132,156,564,479,367,424/320,668,609.80
  6. Step 6: Final answer
    x = 412,128,161.10

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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.