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Finding the Fourth Proportional to 299,806.60, 449,853.90 and 200,014.60

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Solution

The fourth proportional to 299,806.60, 449,853.90 and 200,014.60 is: 300,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,806.60 : 449,853.90 = 200,014.60 : x
  2. Step 2: Convert to fraction form
    299,806.60/449,853.90 = 200,014.60/x
  3. Step 3: Cross multiply
    299,806.60x = 449,853.90 × 200,014.60
  4. Step 4: Simplify right side
    299,806.60x = 89,977,347,866.94
  5. Step 5: Solve for x
    x = 89,977,347,866.94/299,806.60
  6. Step 6: Final answer
    x = 300,117.97

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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.