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Finding the Fourth Proportional to 305,888.82, 422,194.09 and 169,969.50

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Solution

The fourth proportional to 305,888.82, 422,194.09 and 169,969.50 is: 234,595.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,888.82 : 422,194.09 = 169,969.50 : x
  2. Step 2: Convert to fraction form
    305,888.82/422,194.09 = 169,969.50/x
  3. Step 3: Cross multiply
    305,888.82x = 422,194.09 × 169,969.50
  4. Step 4: Simplify right side
    305,888.82x = 71,760,118,380.26
  5. Step 5: Solve for x
    x = 71,760,118,380.26/305,888.82
  6. Step 6: Final answer
    x = 234,595.43

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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.