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Finding the Fourth Proportional to 299,381.75, 448,979.19 and 99,655.46

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Solution

The fourth proportional to 299,381.75, 448,979.19 and 99,655.46 is: 149,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,381.75 : 448,979.19 = 99,655.46 : x
  2. Step 2: Convert to fraction form
    299,381.75/448,979.19 = 99,655.46/x
  3. Step 3: Cross multiply
    299,381.75x = 448,979.19 × 99,655.46
  4. Step 4: Simplify right side
    299,381.75x = 44,743,227,709.88
  5. Step 5: Solve for x
    x = 44,743,227,709.88/299,381.75
  6. Step 6: Final answer
    x = 149,452.09

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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.