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Finding the Fourth Proportional to 422,908.72, 583,614.84 and 231,923.52

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Solution

The fourth proportional to 422,908.72, 583,614.84 and 231,923.52 is: 320,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,908.72 : 583,614.84 = 231,923.52 : x
  2. Step 2: Convert to fraction form
    422,908.72/583,614.84 = 231,923.52/x
  3. Step 3: Cross multiply
    422,908.72x = 583,614.84 × 231,923.52
  4. Step 4: Simplify right side
    422,908.72x = 135,354,008,017.04
  5. Step 5: Solve for x
    x = 135,354,008,017.04/422,908.72
  6. Step 6: Final answer
    x = 320,054.90

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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.