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Finding the Fourth Proportional to 328,859.83, 493,321.11 and 92,201.83

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Solution

The fourth proportional to 328,859.83, 493,321.11 and 92,201.83 is: 138,311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,859.83 : 493,321.11 = 92,201.83 : x
  2. Step 2: Convert to fraction form
    328,859.83/493,321.11 = 92,201.83/x
  3. Step 3: Cross multiply
    328,859.83x = 493,321.11 × 92,201.83
  4. Step 4: Simplify right side
    328,859.83x = 45,485,107,540.57
  5. Step 5: Solve for x
    x = 45,485,107,540.57/328,859.83
  6. Step 6: Final answer
    x = 138,311.53

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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.