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Finding the Fourth Proportional to 422,580.85, 583,158.22 and 231,593.79

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Solution

The fourth proportional to 422,580.85, 583,158.22 and 231,593.79 is: 319,597.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,580.85 : 583,158.22 = 231,593.79 : x
  2. Step 2: Convert to fraction form
    422,580.85/583,158.22 = 231,593.79/x
  3. Step 3: Cross multiply
    422,580.85x = 583,158.22 × 231,593.79
  4. Step 4: Simplify right side
    422,580.85x = 135,055,822,339.45
  5. Step 5: Solve for x
    x = 135,055,822,339.45/422,580.85
  6. Step 6: Final answer
    x = 319,597.59

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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.