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Finding the Fourth Proportional to 228,843.68, 343,027.20 and 76,928

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Solution

The fourth proportional to 228,843.68, 343,027.20 and 76,928 is: 115,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,843.68 : 343,027.20 = 76,928 : x
  2. Step 2: Convert to fraction form
    228,843.68/343,027.20 = 76,928/x
  3. Step 3: Cross multiply
    228,843.68x = 343,027.20 × 76,928
  4. Step 4: Simplify right side
    228,843.68x = 26,388,396,441.60
  5. Step 5: Solve for x
    x = 26,388,396,441.60/228,843.68
  6. Step 6: Final answer
    x = 115,311.89

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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.