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Finding the Fourth Proportional to 422,415.84, 582,456.24 and 269,249.76

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Solution

The fourth proportional to 422,415.84, 582,456.24 and 269,249.76 is: 371,260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,415.84 : 582,456.24 = 269,249.76 : x
  2. Step 2: Convert to fraction form
    422,415.84/582,456.24 = 269,249.76/x
  3. Step 3: Cross multiply
    422,415.84x = 582,456.24 × 269,249.76
  4. Step 4: Simplify right side
    422,415.84x = 156,826,202,830.50
  5. Step 5: Solve for x
    x = 156,826,202,830.50/422,415.84
  6. Step 6: Final answer
    x = 371,260.23

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1.5x scale

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.