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Finding the Fourth Proportional to 422,969.08, 583,713.70 and 231,990.52

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Solution

The fourth proportional to 422,969.08, 583,713.70 and 231,990.52 is: 320,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,969.08 : 583,713.70 = 231,990.52 : x
  2. Step 2: Convert to fraction form
    422,969.08/583,713.70 = 231,990.52/x
  3. Step 3: Cross multiply
    422,969.08x = 583,713.70 × 231,990.52
  4. Step 4: Simplify right side
    422,969.08x = 135,416,044,794.12
  5. Step 5: Solve for x
    x = 135,416,044,794.12/422,969.08
  6. Step 6: Final answer
    x = 320,155.90

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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.