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Finding the Fourth Proportional to 285,530.88, 428,262.30 and 75,185.22

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Solution

The fourth proportional to 285,530.88, 428,262.30 and 75,185.22 is: 112,768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,530.88 : 428,262.30 = 75,185.22 : x
  2. Step 2: Convert to fraction form
    285,530.88/428,262.30 = 75,185.22/x
  3. Step 3: Cross multiply
    285,530.88x = 428,262.30 × 75,185.22
  4. Step 4: Simplify right side
    285,530.88x = 32,198,995,243.21
  5. Step 5: Solve for x
    x = 32,198,995,243.21/285,530.88
  6. Step 6: Final answer
    x = 112,768.87

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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.