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Finding the Fourth Proportional to 299,860.76, 449,790.96 and 78,244.76

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Solution

The fourth proportional to 299,860.76, 449,790.96 and 78,244.76 is: 117,367.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,860.76 : 449,790.96 = 78,244.76 : x
  2. Step 2: Convert to fraction form
    299,860.76/449,790.96 = 78,244.76/x
  3. Step 3: Cross multiply
    299,860.76x = 449,790.96 × 78,244.76
  4. Step 4: Simplify right side
    299,860.76x = 35,193,785,715.37
  5. Step 5: Solve for x
    x = 35,193,785,715.37/299,860.76
  6. Step 6: Final answer
    x = 117,367.09

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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.