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Finding the Fourth Proportional to 330,991.20, 496,616.40 and 120,650.40

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Solution

The fourth proportional to 330,991.20, 496,616.40 and 120,650.40 is: 181,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,991.20 : 496,616.40 = 120,650.40 : x
  2. Step 2: Convert to fraction form
    330,991.20/496,616.40 = 120,650.40/x
  3. Step 3: Cross multiply
    330,991.20x = 496,616.40 × 120,650.40
  4. Step 4: Simplify right side
    330,991.20x = 59,916,967,306.56
  5. Step 5: Solve for x
    x = 59,916,967,306.56/330,991.20
  6. Step 6: Final answer
    x = 181,022.84

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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.