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Finding the Fourth Proportional to 285,890.58, 428,851.26 and 75,522.78

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Solution

The fourth proportional to 285,890.58, 428,851.26 and 75,522.78 is: 113,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,890.58 : 428,851.26 = 75,522.78 : x
  2. Step 2: Convert to fraction form
    285,890.58/428,851.26 = 75,522.78/x
  3. Step 3: Cross multiply
    285,890.58x = 428,851.26 × 75,522.78
  4. Step 4: Simplify right side
    285,890.58x = 32,388,039,361.70
  5. Step 5: Solve for x
    x = 32,388,039,361.70/285,890.58
  6. Step 6: Final answer
    x = 113,288.24

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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.