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Finding the Fourth Proportional to 299,412.90, 449,447.40 and 187,219.80

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Solution

The fourth proportional to 299,412.90, 449,447.40 and 187,219.80 is: 281,034.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,412.90 : 449,447.40 = 187,219.80 : x
  2. Step 2: Convert to fraction form
    299,412.90/449,447.40 = 187,219.80/x
  3. Step 3: Cross multiply
    299,412.90x = 449,447.40 × 187,219.80
  4. Step 4: Simplify right side
    299,412.90x = 84,145,452,338.52
  5. Step 5: Solve for x
    x = 84,145,452,338.52/299,412.90
  6. Step 6: Final answer
    x = 281,034.83

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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.