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Finding the Fourth Proportional to 285,694.56, 428,542.56 and 86,015.52

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Solution

The fourth proportional to 285,694.56, 428,542.56 and 86,015.52 is: 129,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,694.56 : 428,542.56 = 86,015.52 : x
  2. Step 2: Convert to fraction form
    285,694.56/428,542.56 = 86,015.52/x
  3. Step 3: Cross multiply
    285,694.56x = 428,542.56 × 86,015.52
  4. Step 4: Simplify right side
    285,694.56x = 36,861,311,140.53
  5. Step 5: Solve for x
    x = 36,861,311,140.53/285,694.56
  6. Step 6: Final answer
    x = 129,023.50

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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.