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Finding the Fourth Proportional to 299,492.52, 449,114.76 and 121,878.96

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Solution

The fourth proportional to 299,492.52, 449,114.76 and 121,878.96 is: 182,767.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,492.52 : 449,114.76 = 121,878.96 : x
  2. Step 2: Convert to fraction form
    299,492.52/449,114.76 = 121,878.96/x
  3. Step 3: Cross multiply
    299,492.52x = 449,114.76 × 121,878.96
  4. Step 4: Simplify right side
    299,492.52x = 54,737,639,869.45
  5. Step 5: Solve for x
    x = 54,737,639,869.45/299,492.52
  6. Step 6: Final answer
    x = 182,767.97

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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.