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Finding the Fourth Proportional to 398,736.54, 550,257.33 and 226,655.61

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Solution

The fourth proportional to 398,736.54, 550,257.33 and 226,655.61 is: 312,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,736.54 : 550,257.33 = 226,655.61 : x
  2. Step 2: Convert to fraction form
    398,736.54/550,257.33 = 226,655.61/x
  3. Step 3: Cross multiply
    398,736.54x = 550,257.33 × 226,655.61
  4. Step 4: Simplify right side
    398,736.54x = 124,718,910,788.12
  5. Step 5: Solve for x
    x = 124,718,910,788.12/398,736.54
  6. Step 6: Final answer
    x = 312,785.26

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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.