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Finding the Fourth Proportional to 447,704.82, 671,790.51 and 198,328.50

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Solution

The fourth proportional to 447,704.82, 671,790.51 and 198,328.50 is: 297,596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,704.82 : 671,790.51 = 198,328.50 : x
  2. Step 2: Convert to fraction form
    447,704.82/671,790.51 = 198,328.50/x
  3. Step 3: Cross multiply
    447,704.82x = 671,790.51 × 198,328.50
  4. Step 4: Simplify right side
    447,704.82x = 133,235,204,162.54
  5. Step 5: Solve for x
    x = 133,235,204,162.54/447,704.82
  6. Step 6: Final answer
    x = 297,596.09

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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.