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Finding the Fourth Proportional to 419,855,383.20, 629,783,074.80 and 267,178,288.80

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Solution

The fourth proportional to 419,855,383.20, 629,783,074.80 and 267,178,288.80 is: 400,767,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,855,383.20 : 629,783,074.80 = 267,178,288.80 : x
  2. Step 2: Convert to fraction form
    419,855,383.20/629,783,074.80 = 267,178,288.80/x
  3. Step 3: Cross multiply
    419,855,383.20x = 629,783,074.80 × 267,178,288.80
  4. Step 4: Simplify right side
    419,855,383.20x = 168,264,364,240,266,400
  5. Step 5: Solve for x
    x = 168,264,364,240,266,400/419,855,383.20
  6. Step 6: Final answer
    x = 400,767,433.20

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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.