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Finding the Fourth Proportional to 320,216.97, 480,404.25 and 225,631.89

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Solution

The fourth proportional to 320,216.97, 480,404.25 and 225,631.89 is: 338,503.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,216.97 : 480,404.25 = 225,631.89 : x
  2. Step 2: Convert to fraction form
    320,216.97/480,404.25 = 225,631.89/x
  3. Step 3: Cross multiply
    320,216.97x = 480,404.25 × 225,631.89
  4. Step 4: Simplify right side
    320,216.97x = 108,394,518,891.53
  5. Step 5: Solve for x
    x = 108,394,518,891.53/320,216.97
  6. Step 6: Final answer
    x = 338,503.36

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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.