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Finding the Fourth Proportional to 298,209.14, 447,160.47 and 87,819.74

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Solution

The fourth proportional to 298,209.14, 447,160.47 and 87,819.74 is: 131,684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,209.14 : 447,160.47 = 87,819.74 : x
  2. Step 2: Convert to fraction form
    298,209.14/447,160.47 = 87,819.74/x
  3. Step 3: Cross multiply
    298,209.14x = 447,160.47 × 87,819.74
  4. Step 4: Simplify right side
    298,209.14x = 39,269,516,213.68
  5. Step 5: Solve for x
    x = 39,269,516,213.68/298,209.14
  6. Step 6: Final answer
    x = 131,684.48

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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.