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Finding the Fourth Proportional to 305,889.32, 422,194.78 and 169,970

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Solution

The fourth proportional to 305,889.32, 422,194.78 and 169,970 is: 234,596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,889.32 : 422,194.78 = 169,970 : x
  2. Step 2: Convert to fraction form
    305,889.32/422,194.78 = 169,970/x
  3. Step 3: Cross multiply
    305,889.32x = 422,194.78 × 169,970
  4. Step 4: Simplify right side
    305,889.32x = 71,760,446,756.60
  5. Step 5: Solve for x
    x = 71,760,446,756.60/305,889.32
  6. Step 6: Final answer
    x = 234,596.12

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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.