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Finding the Fourth Proportional to 299,212.90, 449,147.40 and 187,019.80

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Solution

The fourth proportional to 299,212.90, 449,147.40 and 187,019.80 is: 280,734.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,212.90 : 449,147.40 = 187,019.80 : x
  2. Step 2: Convert to fraction form
    299,212.90/449,147.40 = 187,019.80/x
  3. Step 3: Cross multiply
    299,212.90x = 449,147.40 × 187,019.80
  4. Step 4: Simplify right side
    299,212.90x = 83,999,456,918.52
  5. Step 5: Solve for x
    x = 83,999,456,918.52/299,212.90
  6. Step 6: Final answer
    x = 280,734.74

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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.