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Finding the Fourth Proportional to 298,469.88, 447,860.34 and 132,219

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Solution

The fourth proportional to 298,469.88, 447,860.34 and 132,219 is: 198,397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,469.88 : 447,860.34 = 132,219 : x
  2. Step 2: Convert to fraction form
    298,469.88/447,860.34 = 132,219/x
  3. Step 3: Cross multiply
    298,469.88x = 447,860.34 × 132,219
  4. Step 4: Simplify right side
    298,469.88x = 59,215,646,294.46
  5. Step 5: Solve for x
    x = 59,215,646,294.46/298,469.88
  6. Step 6: Final answer
    x = 198,397.39

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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.