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Finding the Fourth Proportional to 422,771.58, 583,424.64 and 231,780.87

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Solution

The fourth proportional to 422,771.58, 583,424.64 and 231,780.87 is: 319,857.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,771.58 : 583,424.64 = 231,780.87 : x
  2. Step 2: Convert to fraction form
    422,771.58/583,424.64 = 231,780.87/x
  3. Step 3: Cross multiply
    422,771.58x = 583,424.64 × 231,780.87
  4. Step 4: Simplify right side
    422,771.58x = 135,226,670,638.64
  5. Step 5: Solve for x
    x = 135,226,670,638.64/422,771.58
  6. Step 6: Final answer
    x = 319,857.52

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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.