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Finding the Fourth Proportional to 311,230.20, 465,770.10 and 186,660.60

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Solution

The fourth proportional to 311,230.20, 465,770.10 and 186,660.60 is: 279,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,230.20 : 465,770.10 = 186,660.60 : x
  2. Step 2: Convert to fraction form
    311,230.20/465,770.10 = 186,660.60/x
  3. Step 3: Cross multiply
    311,230.20x = 465,770.10 × 186,660.60
  4. Step 4: Simplify right side
    311,230.20x = 86,940,926,328.06
  5. Step 5: Solve for x
    x = 86,940,926,328.06/311,230.20
  6. Step 6: Final answer
    x = 279,346.05

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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.