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Finding the Fourth Proportional to 419,906,074.40, 629,859,111.60 and 177,568,978.40

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Solution

The fourth proportional to 419,906,074.40, 629,859,111.60 and 177,568,978.40 is: 266,353,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,906,074.40 : 629,859,111.60 = 177,568,978.40 : x
  2. Step 2: Convert to fraction form
    419,906,074.40/629,859,111.60 = 177,568,978.40/x
  3. Step 3: Cross multiply
    419,906,074.40x = 629,859,111.60 × 177,568,978.40
  4. Step 4: Simplify right side
    419,906,074.40x = 111,843,438,982,743,600
  5. Step 5: Solve for x
    x = 111,843,438,982,743,600/419,906,074.40
  6. Step 6: Final answer
    x = 266,353,467.60

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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.