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Finding the Fourth Proportional to 378,391.22, 567,324.38 and 201,022.78

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Solution

The fourth proportional to 378,391.22, 567,324.38 and 201,022.78 is: 301,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,391.22 : 567,324.38 = 201,022.78 : x
  2. Step 2: Convert to fraction form
    378,391.22/567,324.38 = 201,022.78/x
  3. Step 3: Cross multiply
    378,391.22x = 567,324.38 × 201,022.78
  4. Step 4: Simplify right side
    378,391.22x = 114,045,124,029.38
  5. Step 5: Solve for x
    x = 114,045,124,029.38/378,391.22
  6. Step 6: Final answer
    x = 301,394.74

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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.