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Finding the Fourth Proportional to 299,523.88, 413,340.42 and 165,385

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Solution

The fourth proportional to 299,523.88, 413,340.42 and 165,385 is: 228,229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,523.88 : 413,340.42 = 165,385 : x
  2. Step 2: Convert to fraction form
    299,523.88/413,340.42 = 165,385/x
  3. Step 3: Cross multiply
    299,523.88x = 413,340.42 × 165,385
  4. Step 4: Simplify right side
    299,523.88x = 68,360,305,361.70
  5. Step 5: Solve for x
    x = 68,360,305,361.70/299,523.88
  6. Step 6: Final answer
    x = 228,229.90

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1.5x scale

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.