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Finding the Fourth Proportional to 447,781.32, 671,905.26 and 198,405

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Solution

The fourth proportional to 447,781.32, 671,905.26 and 198,405 is: 297,710.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,781.32 : 671,905.26 = 198,405 : x
  2. Step 2: Convert to fraction form
    447,781.32/671,905.26 = 198,405/x
  3. Step 3: Cross multiply
    447,781.32x = 671,905.26 × 198,405
  4. Step 4: Simplify right side
    447,781.32x = 133,309,363,110.30
  5. Step 5: Solve for x
    x = 133,309,363,110.30/447,781.32
  6. Step 6: Final answer
    x = 297,710.86

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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.