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Finding the Fourth Proportional to 299,770.30, 449,966.90 and 200,623.32

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Solution

The fourth proportional to 299,770.30, 449,966.90 and 200,623.32 is: 301,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,770.30 : 449,966.90 = 200,623.32 : x
  2. Step 2: Convert to fraction form
    299,770.30/449,966.90 = 200,623.32/x
  3. Step 3: Cross multiply
    299,770.30x = 449,966.90 × 200,623.32
  4. Step 4: Simplify right side
    299,770.30x = 90,273,853,368.11
  5. Step 5: Solve for x
    x = 90,273,853,368.11/299,770.30
  6. Step 6: Final answer
    x = 301,143.42

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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.