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Finding the Fourth Proportional to 227,494.78, 340,522.43 and 142,962.42

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Solution

The fourth proportional to 227,494.78, 340,522.43 and 142,962.42 is: 213,991.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,494.78 : 340,522.43 = 142,962.42 : x
  2. Step 2: Convert to fraction form
    227,494.78/340,522.43 = 142,962.42/x
  3. Step 3: Cross multiply
    227,494.78x = 340,522.43 × 142,962.42
  4. Step 4: Simplify right side
    227,494.78x = 48,681,910,107.95
  5. Step 5: Solve for x
    x = 48,681,910,107.95/227,494.78
  6. Step 6: Final answer
    x = 213,991.33

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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.