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Finding the Fourth Proportional to 422,895.72, 583,609.62 and 231,908.66

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Solution

The fourth proportional to 422,895.72, 583,609.62 and 231,908.66 is: 320,041.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,895.72 : 583,609.62 = 231,908.66 : x
  2. Step 2: Convert to fraction form
    422,895.72/583,609.62 = 231,908.66/x
  3. Step 3: Cross multiply
    422,895.72x = 583,609.62 × 231,908.66
  4. Step 4: Simplify right side
    422,895.72x = 135,344,124,937.31
  5. Step 5: Solve for x
    x = 135,344,124,937.31/422,895.72
  6. Step 6: Final answer
    x = 320,041.37

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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.