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Finding the Fourth Proportional to 378,139.41, 521,825.67 and 206,058.87

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Solution

The fourth proportional to 378,139.41, 521,825.67 and 206,058.87 is: 284,357.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,139.41 : 521,825.67 = 206,058.87 : x
  2. Step 2: Convert to fraction form
    378,139.41/521,825.67 = 206,058.87/x
  3. Step 3: Cross multiply
    378,139.41x = 521,825.67 × 206,058.87
  4. Step 4: Simplify right side
    378,139.41x = 107,526,807,897.19
  5. Step 5: Solve for x
    x = 107,526,807,897.19/378,139.41
  6. Step 6: Final answer
    x = 284,357.58

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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.