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Finding the Fourth Proportional to 299,363.96, 449,045.13 and 121,828.97

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Solution

The fourth proportional to 299,363.96, 449,045.13 and 121,828.97 is: 182,743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,363.96 : 449,045.13 = 121,828.97 : x
  2. Step 2: Convert to fraction form
    299,363.96/449,045.13 = 121,828.97/x
  3. Step 3: Cross multiply
    299,363.96x = 449,045.13 × 121,828.97
  4. Step 4: Simplify right side
    299,363.96x = 54,706,705,671.42
  5. Step 5: Solve for x
    x = 54,706,705,671.42/299,363.96
  6. Step 6: Final answer
    x = 182,743.13

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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.