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Finding the Fourth Proportional to 200,638.38, 299,189.20 and 198,839.64

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Solution

The fourth proportional to 200,638.38, 299,189.20 and 198,839.64 is: 296,506.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,638.38 : 299,189.20 = 198,839.64 : x
  2. Step 2: Convert to fraction form
    200,638.38/299,189.20 = 198,839.64/x
  3. Step 3: Cross multiply
    200,638.38x = 299,189.20 × 198,839.64
  4. Step 4: Simplify right side
    200,638.38x = 59,490,672,819.89
  5. Step 5: Solve for x
    x = 59,490,672,819.89/200,638.38
  6. Step 6: Final answer
    x = 296,506.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.