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Finding the Fourth Proportional to 299,404.90, 449,435.40 and 187,211.80

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Solution

The fourth proportional to 299,404.90, 449,435.40 and 187,211.80 is: 281,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,404.90 : 449,435.40 = 187,211.80 : x
  2. Step 2: Convert to fraction form
    299,404.90/449,435.40 = 187,211.80/x
  3. Step 3: Cross multiply
    299,404.90x = 449,435.40 × 187,211.80
  4. Step 4: Simplify right side
    299,404.90x = 84,139,610,217.72
  5. Step 5: Solve for x
    x = 84,139,610,217.72/299,404.90
  6. Step 6: Final answer
    x = 281,022.82

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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.