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Finding the Fourth Proportional to 321,880.80, 482,408.10 and 179,725.80

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Solution

The fourth proportional to 321,880.80, 482,408.10 and 179,725.80 is: 269,358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,880.80 : 482,408.10 = 179,725.80 : x
  2. Step 2: Convert to fraction form
    321,880.80/482,408.10 = 179,725.80/x
  3. Step 3: Cross multiply
    321,880.80x = 482,408.10 × 179,725.80
  4. Step 4: Simplify right side
    321,880.80x = 86,701,181,698.98
  5. Step 5: Solve for x
    x = 86,701,181,698.98/321,880.80
  6. Step 6: Final answer
    x = 269,358.04

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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.