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Finding the Fourth Proportional to 321,427.78, 482,221.92 and 226,842.58

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Solution

The fourth proportional to 321,427.78, 482,221.92 and 226,842.58 is: 340,320.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,427.78 : 482,221.92 = 226,842.58 : x
  2. Step 2: Convert to fraction form
    321,427.78/482,221.92 = 226,842.58/x
  3. Step 3: Cross multiply
    321,427.78x = 482,221.92 × 226,842.58
  4. Step 4: Simplify right side
    321,427.78x = 109,388,464,465.35
  5. Step 5: Solve for x
    x = 109,388,464,465.35/321,427.78
  6. Step 6: Final answer
    x = 340,320.51

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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.