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Finding the Fourth Proportional to 285,753.75, 428,597.76 and 75,408.09

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Solution

The fourth proportional to 285,753.75, 428,597.76 and 75,408.09 is: 113,103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,753.75 : 428,597.76 = 75,408.09 : x
  2. Step 2: Convert to fraction form
    285,753.75/428,597.76 = 75,408.09/x
  3. Step 3: Cross multiply
    285,753.75x = 428,597.76 × 75,408.09
  4. Step 4: Simplify right side
    285,753.75x = 32,319,738,459.88
  5. Step 5: Solve for x
    x = 32,319,738,459.88/285,753.75
  6. Step 6: Final answer
    x = 113,103.46

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Why These Related Problems?

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