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Finding the Fourth Proportional to 305,894.68, 422,016.89 and 225,513.32

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Solution

The fourth proportional to 305,894.68, 422,016.89 and 225,513.32 is: 311,121.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,894.68 : 422,016.89 = 225,513.32 : x
  2. Step 2: Convert to fraction form
    305,894.68/422,016.89 = 225,513.32/x
  3. Step 3: Cross multiply
    305,894.68x = 422,016.89 × 225,513.32
  4. Step 4: Simplify right side
    305,894.68x = 95,170,426,722.32
  5. Step 5: Solve for x
    x = 95,170,426,722.32/305,894.68
  6. Step 6: Final answer
    x = 311,121.55

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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.