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Finding the Fourth Proportional to 457,709.76, 686,286.72 and 204,942.24

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Solution

The fourth proportional to 457,709.76, 686,286.72 and 204,942.24 is: 307,288.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,709.76 : 686,286.72 = 204,942.24 : x
  2. Step 2: Convert to fraction form
    457,709.76/686,286.72 = 204,942.24/x
  3. Step 3: Cross multiply
    457,709.76x = 686,286.72 × 204,942.24
  4. Step 4: Simplify right side
    457,709.76x = 140,649,137,679.05
  5. Step 5: Solve for x
    x = 140,649,137,679.05/457,709.76
  6. Step 6: Final answer
    x = 307,288.92

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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.