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Finding the Fourth Proportional to 451,199.14, 675,878.79 and 213,821.86

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Solution

The fourth proportional to 451,199.14, 675,878.79 and 213,821.86 is: 320,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,199.14 : 675,878.79 = 213,821.86 : x
  2. Step 2: Convert to fraction form
    451,199.14/675,878.79 = 213,821.86/x
  3. Step 3: Cross multiply
    451,199.14x = 675,878.79 × 213,821.86
  4. Step 4: Simplify right side
    451,199.14x = 144,517,660,012.35
  5. Step 5: Solve for x
    x = 144,517,660,012.35/451,199.14
  6. Step 6: Final answer
    x = 320,296.84

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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.