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Finding the Fourth Proportional to 299,732.80, 449,820.98 and 141,961.64

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Solution

The fourth proportional to 299,732.80, 449,820.98 and 141,961.64 is: 213,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,732.80 : 449,820.98 = 141,961.64 : x
  2. Step 2: Convert to fraction form
    299,732.80/449,820.98 = 141,961.64/x
  3. Step 3: Cross multiply
    299,732.80x = 449,820.98 × 141,961.64
  4. Step 4: Simplify right side
    299,732.80x = 63,857,324,027.21
  5. Step 5: Solve for x
    x = 63,857,324,027.21/299,732.80
  6. Step 6: Final answer
    x = 213,047.50

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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.