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Finding the Fourth Proportional to 378,376.30, 522,171.90 and 225,393.61

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Solution

The fourth proportional to 378,376.30, 522,171.90 and 225,393.61 is: 311,050.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,376.30 : 522,171.90 = 225,393.61 : x
  2. Step 2: Convert to fraction form
    378,376.30/522,171.90 = 225,393.61/x
  3. Step 3: Cross multiply
    378,376.30x = 522,171.90 × 225,393.61
  4. Step 4: Simplify right side
    378,376.30x = 117,694,209,581.56
  5. Step 5: Solve for x
    x = 117,694,209,581.56/378,376.30
  6. Step 6: Final answer
    x = 311,050.69

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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.