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Finding the Fourth Proportional to 299,986.72, 449,980.09 and 120,153.80

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Solution

The fourth proportional to 299,986.72, 449,980.09 and 120,153.80 is: 180,230.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,986.72 : 449,980.09 = 120,153.80 : x
  2. Step 2: Convert to fraction form
    299,986.72/449,980.09 = 120,153.80/x
  3. Step 3: Cross multiply
    299,986.72x = 449,980.09 × 120,153.80
  4. Step 4: Simplify right side
    299,986.72x = 54,066,818,562.41
  5. Step 5: Solve for x
    x = 54,066,818,562.41/299,986.72
  6. Step 6: Final answer
    x = 180,230.71

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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.