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Finding the Fourth Proportional to 422,550.21, 583,123.88 and 231,559.50

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Solution

The fourth proportional to 422,550.21, 583,123.88 and 231,559.50 is: 319,554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,550.21 : 583,123.88 = 231,559.50 : x
  2. Step 2: Convert to fraction form
    422,550.21/583,123.88 = 231,559.50/x
  3. Step 3: Cross multiply
    422,550.21x = 583,123.88 × 231,559.50
  4. Step 4: Simplify right side
    422,550.21x = 135,027,874,090.86
  5. Step 5: Solve for x
    x = 135,027,874,090.86/422,550.21
  6. Step 6: Final answer
    x = 319,554.63

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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.