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Finding the Fourth Proportional to 285,773.25, 428,626.94 and 75,427.59

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Solution

The fourth proportional to 285,773.25, 428,626.94 and 75,427.59 is: 113,132.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,773.25 : 428,626.94 = 75,427.59 : x
  2. Step 2: Convert to fraction form
    285,773.25/428,626.94 = 75,427.59/x
  3. Step 3: Cross multiply
    285,773.25x = 428,626.94 × 75,427.59
  4. Step 4: Simplify right side
    285,773.25x = 32,330,296,716.14
  5. Step 5: Solve for x
    x = 32,330,296,716.14/285,773.25
  6. Step 6: Final answer
    x = 113,132.69

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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.