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Finding the Fourth Proportional to 328,364.78, 491,834.37 and 201,620.30

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Solution

The fourth proportional to 328,364.78, 491,834.37 and 201,620.30 is: 301,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,364.78 : 491,834.37 = 201,620.30 : x
  2. Step 2: Convert to fraction form
    328,364.78/491,834.37 = 201,620.30/x
  3. Step 3: Cross multiply
    328,364.78x = 491,834.37 × 201,620.30
  4. Step 4: Simplify right side
    328,364.78x = 99,163,793,229.71
  5. Step 5: Solve for x
    x = 99,163,793,229.71/328,364.78
  6. Step 6: Final answer
    x = 301,992.78

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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.