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Finding the Fourth Proportional to 299,218.56, 448,440.05 and 121,519.14

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Solution

The fourth proportional to 299,218.56, 448,440.05 and 121,519.14 is: 182,121.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,218.56 : 448,440.05 = 121,519.14 : x
  2. Step 2: Convert to fraction form
    299,218.56/448,440.05 = 121,519.14/x
  3. Step 3: Cross multiply
    299,218.56x = 448,440.05 × 121,519.14
  4. Step 4: Simplify right side
    299,218.56x = 54,494,048,609.96
  5. Step 5: Solve for x
    x = 54,494,048,609.96/299,218.56
  6. Step 6: Final answer
    x = 182,121.22

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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.