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Finding the Fourth Proportional to 285,755.76, 428,591.28 and 75,408.48

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Solution

The fourth proportional to 285,755.76, 428,591.28 and 75,408.48 is: 113,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,755.76 : 428,591.28 = 75,408.48 : x
  2. Step 2: Convert to fraction form
    285,755.76/428,591.28 = 75,408.48/x
  3. Step 3: Cross multiply
    285,755.76x = 428,591.28 × 75,408.48
  4. Step 4: Simplify right side
    285,755.76x = 32,319,416,966.05
  5. Step 5: Solve for x
    x = 32,319,416,966.05/285,755.76
  6. Step 6: Final answer
    x = 113,101.54

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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.