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Finding the Fourth Proportional to 328,872.96, 493,299.72 and 284,369.94

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Solution

The fourth proportional to 328,872.96, 493,299.72 and 284,369.94 is: 426,546.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,872.96 : 493,299.72 = 284,369.94 : x
  2. Step 2: Convert to fraction form
    328,872.96/493,299.72 = 284,369.94/x
  3. Step 3: Cross multiply
    328,872.96x = 493,299.72 × 284,369.94
  4. Step 4: Simplify right side
    328,872.96x = 140,279,611,778.42
  5. Step 5: Solve for x
    x = 140,279,611,778.42/328,872.96
  6. Step 6: Final answer
    x = 426,546.51

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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.