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Finding the Fourth Proportional to 226,298, 339,447 and 78,554

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Solution

The fourth proportional to 226,298, 339,447 and 78,554 is: 117,831

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,298 : 339,447 = 78,554 : x
  2. Step 2: Convert to fraction form
    226,298/339,447 = 78,554/x
  3. Step 3: Cross multiply
    226,298x = 339,447 × 78,554
  4. Step 4: Simplify right side
    226,298x = 26,664,919,638
  5. Step 5: Solve for x
    x = 26,664,919,638/226,298
  6. Step 6: Final answer
    x = 117,831

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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.