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Finding the Fourth Proportional to 321,310.80, 481,966.20 and 203,212.80

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Solution

The fourth proportional to 321,310.80, 481,966.20 and 203,212.80 is: 304,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,310.80 : 481,966.20 = 203,212.80 : x
  2. Step 2: Convert to fraction form
    321,310.80/481,966.20 = 203,212.80/x
  3. Step 3: Cross multiply
    321,310.80x = 481,966.20 × 203,212.80
  4. Step 4: Simplify right side
    321,310.80x = 97,941,701,007.36
  5. Step 5: Solve for x
    x = 97,941,701,007.36/321,310.80
  6. Step 6: Final answer
    x = 304,819.20

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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.