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Finding the Fourth Proportional to 299,637.20, 449,974.20 and 194,920.40

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Solution

The fourth proportional to 299,637.20, 449,974.20 and 194,920.40 is: 292,717.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,637.20 : 449,974.20 = 194,920.40 : x
  2. Step 2: Convert to fraction form
    299,637.20/449,974.20 = 194,920.40/x
  3. Step 3: Cross multiply
    299,637.20x = 449,974.20 × 194,920.40
  4. Step 4: Simplify right side
    299,637.20x = 87,709,151,053.68
  5. Step 5: Solve for x
    x = 87,709,151,053.68/299,637.20
  6. Step 6: Final answer
    x = 292,717.83

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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.