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Finding the Fourth Proportional to 298,137.59, 447,209.05 and 84,905.34

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Solution

The fourth proportional to 298,137.59, 447,209.05 and 84,905.34 is: 127,358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,137.59 : 447,209.05 = 84,905.34 : x
  2. Step 2: Convert to fraction form
    298,137.59/447,209.05 = 84,905.34/x
  3. Step 3: Cross multiply
    298,137.59x = 447,209.05 × 84,905.34
  4. Step 4: Simplify right side
    298,137.59x = 37,970,436,229.06
  5. Step 5: Solve for x
    x = 37,970,436,229.06/298,137.59
  6. Step 6: Final answer
    x = 127,358.77

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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.