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Finding the Fourth Proportional to 299,416.64, 449,123.70 and 121,881.56

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Solution

The fourth proportional to 299,416.64, 449,123.70 and 121,881.56 is: 182,821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,416.64 : 449,123.70 = 121,881.56 : x
  2. Step 2: Convert to fraction form
    299,416.64/449,123.70 = 121,881.56/x
  3. Step 3: Cross multiply
    299,416.64x = 449,123.70 × 121,881.56
  4. Step 4: Simplify right side
    299,416.64x = 54,739,897,188.97
  5. Step 5: Solve for x
    x = 54,739,897,188.97/299,416.64
  6. Step 6: Final answer
    x = 182,821.83

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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.