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Finding the Fourth Proportional to 299,951.65, 449,927.79 and 120,118.30

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Solution

The fourth proportional to 299,951.65, 449,927.79 and 120,118.30 is: 180,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,951.65 : 449,927.79 = 120,118.30 : x
  2. Step 2: Convert to fraction form
    299,951.65/449,927.79 = 120,118.30/x
  3. Step 3: Cross multiply
    299,951.65x = 449,927.79 × 120,118.30
  4. Step 4: Simplify right side
    299,951.65x = 54,044,561,257.56
  5. Step 5: Solve for x
    x = 54,044,561,257.56/299,951.65
  6. Step 6: Final answer
    x = 180,177.58

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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.