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Finding the Fourth Proportional to 321,190.87, 481,260.71 and 194,446.95

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Solution

The fourth proportional to 321,190.87, 481,260.71 and 194,446.95 is: 291,352.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,190.87 : 481,260.71 = 194,446.95 : x
  2. Step 2: Convert to fraction form
    321,190.87/481,260.71 = 194,446.95/x
  3. Step 3: Cross multiply
    321,190.87x = 481,260.71 × 194,446.95
  4. Step 4: Simplify right side
    321,190.87x = 93,579,677,214.33
  5. Step 5: Solve for x
    x = 93,579,677,214.33/321,190.87
  6. Step 6: Final answer
    x = 291,352.23

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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.