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Finding the Fourth Proportional to 279,754.56, 419,212.80 and 121,897.44

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Solution

The fourth proportional to 279,754.56, 419,212.80 and 121,897.44 is: 182,663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,754.56 : 419,212.80 = 121,897.44 : x
  2. Step 2: Convert to fraction form
    279,754.56/419,212.80 = 121,897.44/x
  3. Step 3: Cross multiply
    279,754.56x = 419,212.80 × 121,897.44
  4. Step 4: Simplify right side
    279,754.56x = 51,100,967,135.23
  5. Step 5: Solve for x
    x = 51,100,967,135.23/279,754.56
  6. Step 6: Final answer
    x = 182,663.57

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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.