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Finding the Fourth Proportional to 422,896.73, 583,611 and 231,909.67

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Solution

The fourth proportional to 422,896.73, 583,611 and 231,909.67 is: 320,042.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,896.73 : 583,611 = 231,909.67 : x
  2. Step 2: Convert to fraction form
    422,896.73/583,611 = 231,909.67/x
  3. Step 3: Cross multiply
    422,896.73x = 583,611 × 231,909.67
  4. Step 4: Simplify right side
    422,896.73x = 135,345,031,500.32
  5. Step 5: Solve for x
    x = 135,345,031,500.32/422,896.73
  6. Step 6: Final answer
    x = 320,042.75

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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.