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Finding the Fourth Proportional to 299,748.28, 449,612.04 and 75,110.68

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Solution

The fourth proportional to 299,748.28, 449,612.04 and 75,110.68 is: 112,663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,748.28 : 449,612.04 = 75,110.68 : x
  2. Step 2: Convert to fraction form
    299,748.28/449,612.04 = 75,110.68/x
  3. Step 3: Cross multiply
    299,748.28x = 449,612.04 × 75,110.68
  4. Step 4: Simplify right side
    299,748.28x = 33,770,666,060.59
  5. Step 5: Solve for x
    x = 33,770,666,060.59/299,748.28
  6. Step 6: Final answer
    x = 112,663.42

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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.