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Finding the Fourth Proportional to 422,764.20, 583,105.50 and 269,907.48

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Solution

The fourth proportional to 422,764.20, 583,105.50 and 269,907.48 is: 372,274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,764.20 : 583,105.50 = 269,907.48 : x
  2. Step 2: Convert to fraction form
    422,764.20/583,105.50 = 269,907.48/x
  3. Step 3: Cross multiply
    422,764.20x = 583,105.50 × 269,907.48
  4. Step 4: Simplify right side
    422,764.20x = 157,384,536,079.14
  5. Step 5: Solve for x
    x = 157,384,536,079.14/422,764.20
  6. Step 6: Final answer
    x = 372,274.98

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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.