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Finding the Fourth Proportional to 299,893.74, 449,753.13 and 142,079.82

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Solution

The fourth proportional to 299,893.74, 449,753.13 and 142,079.82 is: 213,078.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,893.74 : 449,753.13 = 142,079.82 : x
  2. Step 2: Convert to fraction form
    299,893.74/449,753.13 = 142,079.82/x
  3. Step 3: Cross multiply
    299,893.74x = 449,753.13 × 142,079.82
  4. Step 4: Simplify right side
    299,893.74x = 63,900,843,754.84
  5. Step 5: Solve for x
    x = 63,900,843,754.84/299,893.74
  6. Step 6: Final answer
    x = 213,078.28

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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.