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Finding the Fourth Proportional to 299,947.91, 449,808.86 and 122,359.86

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Solution

The fourth proportional to 299,947.91, 449,808.86 and 122,359.86 is: 183,493.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,947.91 : 449,808.86 = 122,359.86 : x
  2. Step 2: Convert to fraction form
    299,947.91/449,808.86 = 122,359.86/x
  3. Step 3: Cross multiply
    299,947.91x = 449,808.86 × 122,359.86
  4. Step 4: Simplify right side
    299,947.91x = 55,038,548,524.56
  5. Step 5: Solve for x
    x = 55,038,548,524.56/299,947.91
  6. Step 6: Final answer
    x = 183,493.69

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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.