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Finding the Fourth Proportional to 299,614.88, 413,462.80 and 165,476

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Solution

The fourth proportional to 299,614.88, 413,462.80 and 165,476 is: 228,353.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,614.88 : 413,462.80 = 165,476 : x
  2. Step 2: Convert to fraction form
    299,614.88/413,462.80 = 165,476/x
  3. Step 3: Cross multiply
    299,614.88x = 413,462.80 × 165,476
  4. Step 4: Simplify right side
    299,614.88x = 68,418,170,292.80
  5. Step 5: Solve for x
    x = 68,418,170,292.80/299,614.88
  6. Step 6: Final answer
    x = 228,353.71

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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.