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Finding the Fourth Proportional to 299,971.72, 413,120.82 and 293,439.88

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Solution

The fourth proportional to 299,971.72, 413,120.82 and 293,439.88 is: 404,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,971.72 : 413,120.82 = 293,439.88 : x
  2. Step 2: Convert to fraction form
    299,971.72/413,120.82 = 293,439.88/x
  3. Step 3: Cross multiply
    299,971.72x = 413,120.82 × 293,439.88
  4. Step 4: Simplify right side
    299,971.72x = 121,226,123,846.30
  5. Step 5: Solve for x
    x = 121,226,123,846.30/299,971.72
  6. Step 6: Final answer
    x = 404,125.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.