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Finding the Fourth Proportional to 311,049.54, 466,583.22 and 86,426.42

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Solution

The fourth proportional to 311,049.54, 466,583.22 and 86,426.42 is: 129,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,049.54 : 466,583.22 = 86,426.42 : x
  2. Step 2: Convert to fraction form
    311,049.54/466,583.22 = 86,426.42/x
  3. Step 3: Cross multiply
    311,049.54x = 466,583.22 × 86,426.42
  4. Step 4: Simplify right side
    311,049.54x = 40,325,115,003.76
  5. Step 5: Solve for x
    x = 40,325,115,003.76/311,049.54
  6. Step 6: Final answer
    x = 129,642.10

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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.