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Finding the Fourth Proportional to 378,138.91, 521,824.98 and 206,058.37

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Solution

The fourth proportional to 378,138.91, 521,824.98 and 206,058.37 is: 284,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,138.91 : 521,824.98 = 206,058.37 : x
  2. Step 2: Convert to fraction form
    378,138.91/521,824.98 = 206,058.37/x
  3. Step 3: Cross multiply
    378,138.91x = 521,824.98 × 206,058.37
  4. Step 4: Simplify right side
    378,138.91x = 107,526,404,804.08
  5. Step 5: Solve for x
    x = 107,526,404,804.08/378,138.91
  6. Step 6: Final answer
    x = 284,356.89

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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.