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Finding the Fourth Proportional to 285,054.52, 427,450.90 and 82,604.60

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Solution

The fourth proportional to 285,054.52, 427,450.90 and 82,604.60 is: 123,868.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,054.52 : 427,450.90 = 82,604.60 : x
  2. Step 2: Convert to fraction form
    285,054.52/427,450.90 = 82,604.60/x
  3. Step 3: Cross multiply
    285,054.52x = 427,450.90 × 82,604.60
  4. Step 4: Simplify right side
    285,054.52x = 35,309,410,614.14
  5. Step 5: Solve for x
    x = 35,309,410,614.14/285,054.52
  6. Step 6: Final answer
    x = 123,868.97

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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.