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Finding the Fourth Proportional to 285,419.25, 428,129.88 and 95,874.19

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Solution

The fourth proportional to 285,419.25, 428,129.88 and 95,874.19 is: 143,811.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,419.25 : 428,129.88 = 95,874.19 : x
  2. Step 2: Convert to fraction form
    285,419.25/428,129.88 = 95,874.19/x
  3. Step 3: Cross multiply
    285,419.25x = 428,129.88 × 95,874.19
  4. Step 4: Simplify right side
    285,419.25x = 41,046,605,459.80
  5. Step 5: Solve for x
    x = 41,046,605,459.80/285,419.25
  6. Step 6: Final answer
    x = 143,811.62

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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.