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Finding the Fourth Proportional to 299,376.28, 413,139.16 and 204,049.44

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Solution

The fourth proportional to 299,376.28, 413,139.16 and 204,049.44 is: 281,588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,376.28 : 413,139.16 = 204,049.44 : x
  2. Step 2: Convert to fraction form
    299,376.28/413,139.16 = 204,049.44/x
  3. Step 3: Cross multiply
    299,376.28x = 413,139.16 × 204,049.44
  4. Step 4: Simplify right side
    299,376.28x = 84,300,814,240.07
  5. Step 5: Solve for x
    x = 84,300,814,240.07/299,376.28
  6. Step 6: Final answer
    x = 281,588.15

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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.