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Finding the Fourth Proportional to 320,399.87, 480,599.73 and 120,764.97

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Solution

The fourth proportional to 320,399.87, 480,599.73 and 120,764.97 is: 181,147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,399.87 : 480,599.73 = 120,764.97 : x
  2. Step 2: Convert to fraction form
    320,399.87/480,599.73 = 120,764.97/x
  3. Step 3: Cross multiply
    320,399.87x = 480,599.73 × 120,764.97
  4. Step 4: Simplify right side
    320,399.87x = 58,039,611,975.46
  5. Step 5: Solve for x
    x = 58,039,611,975.46/320,399.87
  6. Step 6: Final answer
    x = 181,147.43

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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.