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Finding the Fourth Proportional to 299,212.20, 448,838.55 and 121,722.30

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Solution

The fourth proportional to 299,212.20, 448,838.55 and 121,722.30 is: 182,591.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,212.20 : 448,838.55 = 121,722.30 : x
  2. Step 2: Convert to fraction form
    299,212.20/448,838.55 = 121,722.30/x
  3. Step 3: Cross multiply
    299,212.20x = 448,838.55 × 121,722.30
  4. Step 4: Simplify right side
    299,212.20x = 54,633,660,634.67
  5. Step 5: Solve for x
    x = 54,633,660,634.67/299,212.20
  6. Step 6: Final answer
    x = 182,591.69

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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.