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Finding the Fourth Proportional to 285,753.66, 428,597.64 and 75,408

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Solution

The fourth proportional to 285,753.66, 428,597.64 and 75,408 is: 113,103.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,753.66 : 428,597.64 = 75,408 : x
  2. Step 2: Convert to fraction form
    285,753.66/428,597.64 = 75,408/x
  3. Step 3: Cross multiply
    285,753.66x = 428,597.64 × 75,408
  4. Step 4: Simplify right side
    285,753.66x = 32,319,690,837.12
  5. Step 5: Solve for x
    x = 32,319,690,837.12/285,753.66
  6. Step 6: Final answer
    x = 113,103.33

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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.