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Finding the Fourth Proportional to 398,738.56, 550,243.78 and 226,679.08

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Solution

The fourth proportional to 398,738.56, 550,243.78 and 226,679.08 is: 312,808.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,738.56 : 550,243.78 = 226,679.08 : x
  2. Step 2: Convert to fraction form
    398,738.56/550,243.78 = 226,679.08/x
  3. Step 3: Cross multiply
    398,738.56x = 550,243.78 × 226,679.08
  4. Step 4: Simplify right side
    398,738.56x = 124,728,753,826.12
  5. Step 5: Solve for x
    x = 124,728,753,826.12/398,738.56
  6. Step 6: Final answer
    x = 312,808.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.