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Finding the Fourth Proportional to 538,121.22, 806,992.80 and 158,940.78

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Solution

The fourth proportional to 538,121.22, 806,992.80 and 158,940.78 is: 238,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,121.22 : 806,992.80 = 158,940.78 : x
  2. Step 2: Convert to fraction form
    538,121.22/806,992.80 = 158,940.78/x
  3. Step 3: Cross multiply
    538,121.22x = 806,992.80 × 158,940.78
  4. Step 4: Simplify right side
    538,121.22x = 128,264,065,086.38
  5. Step 5: Solve for x
    x = 128,264,065,086.38/538,121.22
  6. Step 6: Final answer
    x = 238,355.34

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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.