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Finding the Fourth Proportional to 305,973.22, 422,241.69 and 170,029.30

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Solution

The fourth proportional to 305,973.22, 422,241.69 and 170,029.30 is: 234,639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,973.22 : 422,241.69 = 170,029.30 : x
  2. Step 2: Convert to fraction form
    305,973.22/422,241.69 = 170,029.30/x
  3. Step 3: Cross multiply
    305,973.22x = 422,241.69 × 170,029.30
  4. Step 4: Simplify right side
    305,973.22x = 71,793,458,981.52
  5. Step 5: Solve for x
    x = 71,793,458,981.52/305,973.22
  6. Step 6: Final answer
    x = 234,639.68

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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.