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Finding the Fourth Proportional to 299,374.86, 449,134.05 and 99,696.97

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Solution

The fourth proportional to 299,374.86, 449,134.05 and 99,696.97 is: 149,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,374.86 : 449,134.05 = 99,696.97 : x
  2. Step 2: Convert to fraction form
    299,374.86/449,134.05 = 99,696.97/x
  3. Step 3: Cross multiply
    299,374.86x = 449,134.05 × 99,696.97
  4. Step 4: Simplify right side
    299,374.86x = 44,777,304,096.38
  5. Step 5: Solve for x
    x = 44,777,304,096.38/299,374.86
  6. Step 6: Final answer
    x = 149,569.35

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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.