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Finding the Fourth Proportional to 311,136.64, 466,311.30 and 198,773.44

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Solution

The fourth proportional to 311,136.64, 466,311.30 and 198,773.44 is: 297,908.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,136.64 : 466,311.30 = 198,773.44 : x
  2. Step 2: Convert to fraction form
    311,136.64/466,311.30 = 198,773.44/x
  3. Step 3: Cross multiply
    311,136.64x = 466,311.30 × 198,773.44
  4. Step 4: Simplify right side
    311,136.64x = 92,690,301,211.87
  5. Step 5: Solve for x
    x = 92,690,301,211.87/311,136.64
  6. Step 6: Final answer
    x = 297,908.67

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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.