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Finding the Fourth Proportional to 305,911.72, 422,040.28 and 225,530.36

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Solution

The fourth proportional to 305,911.72, 422,040.28 and 225,530.36 is: 311,144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,911.72 : 422,040.28 = 225,530.36 : x
  2. Step 2: Convert to fraction form
    305,911.72/422,040.28 = 225,530.36/x
  3. Step 3: Cross multiply
    305,911.72x = 422,040.28 × 225,530.36
  4. Step 4: Simplify right side
    305,911.72x = 95,182,896,282.90
  5. Step 5: Solve for x
    x = 95,182,896,282.90/305,911.72
  6. Step 6: Final answer
    x = 311,144.98

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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.