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Finding the Fourth Proportional to 299,358.28, 413,114.43 and 204,031.51

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Solution

The fourth proportional to 299,358.28, 413,114.43 and 204,031.51 is: 281,563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,358.28 : 413,114.43 = 204,031.51 : x
  2. Step 2: Convert to fraction form
    299,358.28/413,114.43 = 204,031.51/x
  3. Step 3: Cross multiply
    299,358.28x = 413,114.43 × 204,031.51
  4. Step 4: Simplify right side
    299,358.28x = 84,288,359,540.34
  5. Step 5: Solve for x
    x = 84,288,359,540.34/299,358.28
  6. Step 6: Final answer
    x = 281,563.48

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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.