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Finding the Fourth Proportional to 299,357.75, 413,114.24 and 165,221.75

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Solution

The fourth proportional to 299,357.75, 413,114.24 and 165,221.75 is: 228,006.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,357.75 : 413,114.24 = 165,221.75 : x
  2. Step 2: Convert to fraction form
    299,357.75/413,114.24 = 165,221.75/x
  3. Step 3: Cross multiply
    299,357.75x = 413,114.24 × 165,221.75
  4. Step 4: Simplify right side
    299,357.75x = 68,255,456,856.61
  5. Step 5: Solve for x
    x = 68,255,456,856.61/299,357.75
  6. Step 6: Final answer
    x = 228,006.31

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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.