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Finding the Fourth Proportional to 447,697.82, 671,780.02 and 198,321.50

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Solution

The fourth proportional to 447,697.82, 671,780.02 and 198,321.50 is: 297,585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,697.82 : 671,780.02 = 198,321.50 : x
  2. Step 2: Convert to fraction form
    447,697.82/671,780.02 = 198,321.50/x
  3. Step 3: Cross multiply
    447,697.82x = 671,780.02 × 198,321.50
  4. Step 4: Simplify right side
    447,697.82x = 133,228,421,236.43
  5. Step 5: Solve for x
    x = 133,228,421,236.43/447,697.82
  6. Step 6: Final answer
    x = 297,585.59

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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.