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Finding the Fourth Proportional to 285,310.56, 428,037 and 85,634.64

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Solution

The fourth proportional to 285,310.56, 428,037 and 85,634.64 is: 128,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,310.56 : 428,037 = 85,634.64 : x
  2. Step 2: Convert to fraction form
    285,310.56/428,037 = 85,634.64/x
  3. Step 3: Cross multiply
    285,310.56x = 428,037 × 85,634.64
  4. Step 4: Simplify right side
    285,310.56x = 36,654,794,401.68
  5. Step 5: Solve for x
    x = 36,654,794,401.68/285,310.56
  6. Step 6: Final answer
    x = 128,473.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.