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Finding the Fourth Proportional to 299,823.60, 449,879.40 and 200,031.60

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Solution

The fourth proportional to 299,823.60, 449,879.40 and 200,031.60 is: 300,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,823.60 : 449,879.40 = 200,031.60 : x
  2. Step 2: Convert to fraction form
    299,823.60/449,879.40 = 200,031.60/x
  3. Step 3: Cross multiply
    299,823.60x = 449,879.40 × 200,031.60
  4. Step 4: Simplify right side
    299,823.60x = 89,990,096,189.04
  5. Step 5: Solve for x
    x = 89,990,096,189.04/299,823.60
  6. Step 6: Final answer
    x = 300,143.47

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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.