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Finding the Fourth Proportional to 199,819.40, 299,470.72 and 149,504.73

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Solution

The fourth proportional to 199,819.40, 299,470.72 and 149,504.73 is: 224,063.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,819.40 : 299,470.72 = 149,504.73 : x
  2. Step 2: Convert to fraction form
    199,819.40/299,470.72 = 149,504.73/x
  3. Step 3: Cross multiply
    199,819.40x = 299,470.72 × 149,504.73
  4. Step 4: Simplify right side
    199,819.40x = 44,772,289,136.51
  5. Step 5: Solve for x
    x = 44,772,289,136.51/199,819.40
  6. Step 6: Final answer
    x = 224,063.78

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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.