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Finding the Fourth Proportional to 305,984.86, 422,250.06 and 170,015.42

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Solution

The fourth proportional to 305,984.86, 422,250.06 and 170,015.42 is: 234,616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,984.86 : 422,250.06 = 170,015.42 : x
  2. Step 2: Convert to fraction form
    305,984.86/422,250.06 = 170,015.42/x
  3. Step 3: Cross multiply
    305,984.86x = 422,250.06 × 170,015.42
  4. Step 4: Simplify right side
    305,984.86x = 71,789,022,989.11
  5. Step 5: Solve for x
    x = 71,789,022,989.11/305,984.86
  6. Step 6: Final answer
    x = 234,616.26

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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.