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Finding the Fourth Proportional to 227,265.72, 313,620.30 and 142,429.56

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Solution

The fourth proportional to 227,265.72, 313,620.30 and 142,429.56 is: 196,548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,265.72 : 313,620.30 = 142,429.56 : x
  2. Step 2: Convert to fraction form
    227,265.72/313,620.30 = 142,429.56/x
  3. Step 3: Cross multiply
    227,265.72x = 313,620.30 × 142,429.56
  4. Step 4: Simplify right side
    227,265.72x = 44,668,801,336.07
  5. Step 5: Solve for x
    x = 44,668,801,336.07/227,265.72
  6. Step 6: Final answer
    x = 196,548.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.