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Finding the Fourth Proportional to 305,832.70, 422,049.12 and 171,696.70

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Solution

The fourth proportional to 305,832.70, 422,049.12 and 171,696.70 is: 236,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,832.70 : 422,049.12 = 171,696.70 : x
  2. Step 2: Convert to fraction form
    305,832.70/422,049.12 = 171,696.70/x
  3. Step 3: Cross multiply
    305,832.70x = 422,049.12 × 171,696.70
  4. Step 4: Simplify right side
    305,832.70x = 72,464,441,141.90
  5. Step 5: Solve for x
    x = 72,464,441,141.90/305,832.70
  6. Step 6: Final answer
    x = 236,941.44

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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.