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Finding the Fourth Proportional to 274,489.82, 378,495.15 and 178,819.10

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Solution

The fourth proportional to 274,489.82, 378,495.15 and 178,819.10 is: 246,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,489.82 : 378,495.15 = 178,819.10 : x
  2. Step 2: Convert to fraction form
    274,489.82/378,495.15 = 178,819.10/x
  3. Step 3: Cross multiply
    274,489.82x = 378,495.15 × 178,819.10
  4. Step 4: Simplify right side
    274,489.82x = 67,682,162,077.37
  5. Step 5: Solve for x
    x = 67,682,162,077.37/274,489.82
  6. Step 6: Final answer
    x = 246,574.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.