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Finding the Fourth Proportional to 378,922.94, 522,900.59 and 225,882.14

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Solution

The fourth proportional to 378,922.94, 522,900.59 and 225,882.14 is: 311,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,922.94 : 522,900.59 = 225,882.14 : x
  2. Step 2: Convert to fraction form
    378,922.94/522,900.59 = 225,882.14/x
  3. Step 3: Cross multiply
    378,922.94x = 522,900.59 × 225,882.14
  4. Step 4: Simplify right side
    378,922.94x = 118,113,904,276.46
  5. Step 5: Solve for x
    x = 118,113,904,276.46/378,922.94
  6. Step 6: Final answer
    x = 311,709.56

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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.