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Finding the Fourth Proportional to 305,880.66, 422,182.77 and 169,961.31

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Solution

The fourth proportional to 305,880.66, 422,182.77 and 169,961.31 is: 234,584.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,880.66 : 422,182.77 = 169,961.31 : x
  2. Step 2: Convert to fraction form
    305,880.66/422,182.77 = 169,961.31/x
  3. Step 3: Cross multiply
    305,880.66x = 422,182.77 × 169,961.31
  4. Step 4: Simplify right side
    305,880.66x = 71,754,736,648.63
  5. Step 5: Solve for x
    x = 71,754,736,648.63/305,880.66
  6. Step 6: Final answer
    x = 234,584.09

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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.