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Finding the Fourth Proportional to 521,858.43, 782,540.92 and 202,160.04

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Solution

The fourth proportional to 521,858.43, 782,540.92 and 202,160.04 is: 303,144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,858.43 : 782,540.92 = 202,160.04 : x
  2. Step 2: Convert to fraction form
    521,858.43/782,540.92 = 202,160.04/x
  3. Step 3: Cross multiply
    521,858.43x = 782,540.92 × 202,160.04
  4. Step 4: Simplify right side
    521,858.43x = 158,198,501,007.01
  5. Step 5: Solve for x
    x = 158,198,501,007.01/521,858.43
  6. Step 6: Final answer
    x = 303,144.48

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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.