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Finding the Fourth Proportional to 299,983.77, 449,589.29 and 141,863.67

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Solution

The fourth proportional to 299,983.77, 449,589.29 and 141,863.67 is: 212,612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,983.77 : 449,589.29 = 141,863.67 : x
  2. Step 2: Convert to fraction form
    299,983.77/449,589.29 = 141,863.67/x
  3. Step 3: Cross multiply
    299,983.77x = 449,589.29 × 141,863.67
  4. Step 4: Simplify right side
    299,983.77x = 63,780,385,962.78
  5. Step 5: Solve for x
    x = 63,780,385,962.78/299,983.77
  6. Step 6: Final answer
    x = 212,612.79

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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.