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Finding the Fourth Proportional to 285,808.14, 428,078.79 and 195,635.70

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Solution

The fourth proportional to 285,808.14, 428,078.79 and 195,635.70 is: 293,019.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,808.14 : 428,078.79 = 195,635.70 : x
  2. Step 2: Convert to fraction form
    285,808.14/428,078.79 = 195,635.70/x
  3. Step 3: Cross multiply
    285,808.14x = 428,078.79 × 195,635.70
  4. Step 4: Simplify right side
    285,808.14x = 83,747,493,736.80
  5. Step 5: Solve for x
    x = 83,747,493,736.80/285,808.14
  6. Step 6: Final answer
    x = 293,019.97

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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.