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Finding the Fourth Proportional to 419,668,301.20, 629,502,451.80 and 266,991,206.80

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Solution

The fourth proportional to 419,668,301.20, 629,502,451.80 and 266,991,206.80 is: 400,486,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,668,301.20 : 629,502,451.80 = 266,991,206.80 : x
  2. Step 2: Convert to fraction form
    419,668,301.20/629,502,451.80 = 266,991,206.80/x
  3. Step 3: Cross multiply
    419,668,301.20x = 629,502,451.80 × 266,991,206.80
  4. Step 4: Simplify right side
    419,668,301.20x = 168,071,619,289,640,832
  5. Step 5: Solve for x
    x = 168,071,619,289,640,832/419,668,301.20
  6. Step 6: Final answer
    x = 400,486,810.20

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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.