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Finding the Fourth Proportional to 255,887, 384,163.11 and 196,764.19

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Solution

The fourth proportional to 255,887, 384,163.11 and 196,764.19 is: 295,402.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,887 : 384,163.11 = 196,764.19 : x
  2. Step 2: Convert to fraction form
    255,887/384,163.11 = 196,764.19/x
  3. Step 3: Cross multiply
    255,887x = 384,163.11 × 196,764.19
  4. Step 4: Simplify right side
    255,887x = 75,589,540,262.39
  5. Step 5: Solve for x
    x = 75,589,540,262.39/255,887
  6. Step 6: Final answer
    x = 295,402.03

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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.