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Finding the Fourth Proportional to 447,784.80, 671,910.48 and 198,408.48

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Solution

The fourth proportional to 447,784.80, 671,910.48 and 198,408.48 is: 297,716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,784.80 : 671,910.48 = 198,408.48 : x
  2. Step 2: Convert to fraction form
    447,784.80/671,910.48 = 198,408.48/x
  3. Step 3: Cross multiply
    447,784.80x = 671,910.48 × 198,408.48
  4. Step 4: Simplify right side
    447,784.80x = 133,312,737,032.87
  5. Step 5: Solve for x
    x = 133,312,737,032.87/447,784.80
  6. Step 6: Final answer
    x = 297,716.08

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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.