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Finding the Fourth Proportional to 305,906.08, 422,155.92 and 171,774.88

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Solution

The fourth proportional to 305,906.08, 422,155.92 and 171,774.88 is: 237,052.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,906.08 : 422,155.92 = 171,774.88 : x
  2. Step 2: Convert to fraction form
    305,906.08/422,155.92 = 171,774.88/x
  3. Step 3: Cross multiply
    305,906.08x = 422,155.92 × 171,774.88
  4. Step 4: Simplify right side
    305,906.08x = 72,515,782,499.29
  5. Step 5: Solve for x
    x = 72,515,782,499.29/305,906.08
  6. Step 6: Final answer
    x = 237,052.44

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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.