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Finding the Fourth Proportional to 285,414.15, 428,087.21 and 75,068.49

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Solution

The fourth proportional to 285,414.15, 428,087.21 and 75,068.49 is: 112,593.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,414.15 : 428,087.21 = 75,068.49 : x
  2. Step 2: Convert to fraction form
    285,414.15/428,087.21 = 75,068.49/x
  3. Step 3: Cross multiply
    285,414.15x = 428,087.21 × 75,068.49
  4. Step 4: Simplify right side
    285,414.15x = 32,135,860,443.01
  5. Step 5: Solve for x
    x = 32,135,860,443.01/285,414.15
  6. Step 6: Final answer
    x = 112,593.79

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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.