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Finding the Fourth Proportional to 365,198.21, 503,975.10 and 199,629.54

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Solution

The fourth proportional to 365,198.21, 503,975.10 and 199,629.54 is: 275,489.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,198.21 : 503,975.10 = 199,629.54 : x
  2. Step 2: Convert to fraction form
    365,198.21/503,975.10 = 199,629.54/x
  3. Step 3: Cross multiply
    365,198.21x = 503,975.10 × 199,629.54
  4. Step 4: Simplify right side
    365,198.21x = 100,608,318,133.07
  5. Step 5: Solve for x
    x = 100,608,318,133.07/365,198.21
  6. Step 6: Final answer
    x = 275,489.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.