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Finding the Fourth Proportional to 328,861, 493,307.70 and 107,245

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Solution

The fourth proportional to 328,861, 493,307.70 and 107,245 is: 160,872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,861 : 493,307.70 = 107,245 : x
  2. Step 2: Convert to fraction form
    328,861/493,307.70 = 107,245/x
  3. Step 3: Cross multiply
    328,861x = 493,307.70 × 107,245
  4. Step 4: Simplify right side
    328,861x = 52,904,784,286.50
  5. Step 5: Solve for x
    x = 52,904,784,286.50/328,861
  6. Step 6: Final answer
    x = 160,872.78

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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.