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Finding the Fourth Proportional to 285,419.25, 428,154.15 and 75,057.18

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Solution

The fourth proportional to 285,419.25, 428,154.15 and 75,057.18 is: 112,592.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,419.25 : 428,154.15 = 75,057.18 : x
  2. Step 2: Convert to fraction form
    285,419.25/428,154.15 = 75,057.18/x
  3. Step 3: Cross multiply
    285,419.25x = 428,154.15 × 75,057.18
  4. Step 4: Simplify right side
    285,419.25x = 32,136,043,104.30
  5. Step 5: Solve for x
    x = 32,136,043,104.30/285,419.25
  6. Step 6: Final answer
    x = 112,592.42

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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.