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Finding the Fourth Proportional to 227,133.40, 311,173.87 and 218,620.43

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Solution

The fourth proportional to 227,133.40, 311,173.87 and 218,620.43 is: 299,511.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,133.40 : 311,173.87 = 218,620.43 : x
  2. Step 2: Convert to fraction form
    227,133.40/311,173.87 = 218,620.43/x
  3. Step 3: Cross multiply
    227,133.40x = 311,173.87 × 218,620.43
  4. Step 4: Simplify right side
    227,133.40x = 68,028,965,495.55
  5. Step 5: Solve for x
    x = 68,028,965,495.55/227,133.40
  6. Step 6: Final answer
    x = 299,511.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.