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Finding the Fourth Proportional to 299,813.60, 449,864.40 and 200,021.60

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Solution

The fourth proportional to 299,813.60, 449,864.40 and 200,021.60 is: 300,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,813.60 : 449,864.40 = 200,021.60 : x
  2. Step 2: Convert to fraction form
    299,813.60/449,864.40 = 200,021.60/x
  3. Step 3: Cross multiply
    299,813.60x = 449,864.40 × 200,021.60
  4. Step 4: Simplify right side
    299,813.60x = 89,982,597,071.04
  5. Step 5: Solve for x
    x = 89,982,597,071.04/299,813.60
  6. Step 6: Final answer
    x = 300,128.47

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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.