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Finding the Fourth Proportional to 383,694.80, 529,498.84 and 213,928.96

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Solution

The fourth proportional to 383,694.80, 529,498.84 and 213,928.96 is: 295,221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,694.80 : 529,498.84 = 213,928.96 : x
  2. Step 2: Convert to fraction form
    383,694.80/529,498.84 = 213,928.96/x
  3. Step 3: Cross multiply
    383,694.80x = 529,498.84 × 213,928.96
  4. Step 4: Simplify right side
    383,694.80x = 113,275,136,162.41
  5. Step 5: Solve for x
    x = 113,275,136,162.41/383,694.80
  6. Step 6: Final answer
    x = 295,221.97

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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.