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Finding the Fourth Proportional to 321,310.40, 481,965.60 and 188,340.80

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Solution

The fourth proportional to 321,310.40, 481,965.60 and 188,340.80 is: 282,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,310.40 : 481,965.60 = 188,340.80 : x
  2. Step 2: Convert to fraction form
    321,310.40/481,965.60 = 188,340.80/x
  3. Step 3: Cross multiply
    321,310.40x = 481,965.60 × 188,340.80
  4. Step 4: Simplify right side
    321,310.40x = 90,773,786,676.48
  5. Step 5: Solve for x
    x = 90,773,786,676.48/321,310.40
  6. Step 6: Final answer
    x = 282,511.20

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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.