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Finding the Fourth Proportional to 284,351,112.20, 398,629,034.20 and 284,351,112.20

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Solution

The fourth proportional to 284,351,112.20, 398,629,034.20 and 284,351,112.20 is: 398,629,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,351,112.20 : 398,629,034.20 = 284,351,112.20 : x
  2. Step 2: Convert to fraction form
    284,351,112.20/398,629,034.20 = 284,351,112.20/x
  3. Step 3: Cross multiply
    284,351,112.20x = 398,629,034.20 × 284,351,112.20
  4. Step 4: Simplify right side
    284,351,112.20x = 113,350,609,229,981,824
  5. Step 5: Solve for x
    x = 113,350,609,229,981,824/284,351,112.20
  6. Step 6: Final answer
    x = 398,629,034.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.