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Finding the Fourth Proportional to 299,476.70, 449,213.22 and 74,835.98

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Solution

The fourth proportional to 299,476.70, 449,213.22 and 74,835.98 is: 112,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,476.70 : 449,213.22 = 74,835.98 : x
  2. Step 2: Convert to fraction form
    299,476.70/449,213.22 = 74,835.98/x
  3. Step 3: Cross multiply
    299,476.70x = 449,213.22 × 74,835.98
  4. Step 4: Simplify right side
    299,476.70x = 33,617,309,301.59
  5. Step 5: Solve for x
    x = 33,617,309,301.59/299,476.70
  6. Step 6: Final answer
    x = 112,253.51

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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.