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Finding the Fourth Proportional to 305,998.87, 422,270.04 and 170,029.32

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Solution

The fourth proportional to 305,998.87, 422,270.04 and 170,029.32 is: 234,635.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,998.87 : 422,270.04 = 170,029.32 : x
  2. Step 2: Convert to fraction form
    305,998.87/422,270.04 = 170,029.32/x
  3. Step 3: Cross multiply
    305,998.87x = 422,270.04 × 170,029.32
  4. Step 4: Simplify right side
    305,998.87x = 71,798,287,757.57
  5. Step 5: Solve for x
    x = 71,798,287,757.57/305,998.87
  6. Step 6: Final answer
    x = 234,635.80

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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.