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Finding the Fourth Proportional to 311,833.23, 467,383.11 and 140,855.37

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Solution

The fourth proportional to 311,833.23, 467,383.11 and 140,855.37 is: 211,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,833.23 : 467,383.11 = 140,855.37 : x
  2. Step 2: Convert to fraction form
    311,833.23/467,383.11 = 140,855.37/x
  3. Step 3: Cross multiply
    311,833.23x = 467,383.11 × 140,855.37
  4. Step 4: Simplify right side
    311,833.23x = 65,833,419,168.12
  5. Step 5: Solve for x
    x = 65,833,419,168.12/311,833.23
  6. Step 6: Final answer
    x = 211,117.40

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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.