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Finding the Fourth Proportional to 321,189.87, 481,259.21 and 194,445.95

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Solution

The fourth proportional to 321,189.87, 481,259.21 and 194,445.95 is: 291,350.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,189.87 : 481,259.21 = 194,445.95 : x
  2. Step 2: Convert to fraction form
    321,189.87/481,259.21 = 194,445.95/x
  3. Step 3: Cross multiply
    321,189.87x = 481,259.21 × 194,445.95
  4. Step 4: Simplify right side
    321,189.87x = 93,578,904,284.70
  5. Step 5: Solve for x
    x = 93,578,904,284.70/321,189.87
  6. Step 6: Final answer
    x = 291,350.73

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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.