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Finding the Fourth Proportional to 422,926.88, 583,647.12 and 231,928.80

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Solution

The fourth proportional to 422,926.88, 583,647.12 and 231,928.80 is: 320,066.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,926.88 : 583,647.12 = 231,928.80 : x
  2. Step 2: Convert to fraction form
    422,926.88/583,647.12 = 231,928.80/x
  3. Step 3: Cross multiply
    422,926.88x = 583,647.12 × 231,928.80
  4. Step 4: Simplify right side
    422,926.88x = 135,364,576,165.06
  5. Step 5: Solve for x
    x = 135,364,576,165.06/422,926.88
  6. Step 6: Final answer
    x = 320,066.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.