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Finding the Fourth Proportional to 422,765.20, 583,106.88 and 269,908.48

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Solution

The fourth proportional to 422,765.20, 583,106.88 and 269,908.48 is: 372,276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,765.20 : 583,106.88 = 269,908.48 : x
  2. Step 2: Convert to fraction form
    422,765.20/583,106.88 = 269,908.48/x
  3. Step 3: Cross multiply
    422,765.20x = 583,106.88 × 269,908.48
  4. Step 4: Simplify right side
    422,765.20x = 157,385,491,658.34
  5. Step 5: Solve for x
    x = 157,385,491,658.34/422,765.20
  6. Step 6: Final answer
    x = 372,276.36

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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.