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Finding the Fourth Proportional to 311,231.56, 466,808.46 and 86,608.84

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Solution

The fourth proportional to 311,231.56, 466,808.46 and 86,608.84 is: 129,902.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,231.56 : 466,808.46 = 86,608.84 : x
  2. Step 2: Convert to fraction form
    311,231.56/466,808.46 = 86,608.84/x
  3. Step 3: Cross multiply
    311,231.56x = 466,808.46 × 86,608.84
  4. Step 4: Simplify right side
    311,231.56x = 40,429,739,222.79
  5. Step 5: Solve for x
    x = 40,429,739,222.79/311,231.56
  6. Step 6: Final answer
    x = 129,902.44

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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.