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Finding the Fourth Proportional to 299,715.38, 449,578.03 and 100,036.81

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Solution

The fourth proportional to 299,715.38, 449,578.03 and 100,036.81 is: 150,056.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,715.38 : 449,578.03 = 100,036.81 : x
  2. Step 2: Convert to fraction form
    299,715.38/449,578.03 = 100,036.81/x
  3. Step 3: Cross multiply
    299,715.38x = 449,578.03 × 100,036.81
  4. Step 4: Simplify right side
    299,715.38x = 44,974,351,967.28
  5. Step 5: Solve for x
    x = 44,974,351,967.28/299,715.38
  6. Step 6: Final answer
    x = 150,056.87

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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.