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Finding the Fourth Proportional to 422,908.52, 583,640.34 and 231,921.98

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Solution

The fourth proportional to 422,908.52, 583,640.34 and 231,921.98 is: 320,066.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,908.52 : 583,640.34 = 231,921.98 : x
  2. Step 2: Convert to fraction form
    422,908.52/583,640.34 = 231,921.98/x
  3. Step 3: Cross multiply
    422,908.52x = 583,640.34 × 231,921.98
  4. Step 4: Simplify right side
    422,908.52x = 135,359,023,260.67
  5. Step 5: Solve for x
    x = 135,359,023,260.67/422,908.52
  6. Step 6: Final answer
    x = 320,066.91

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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.