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Finding the Fourth Proportional to 378,390.40, 522,240.96 and 227,570.56

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Solution

The fourth proportional to 378,390.40, 522,240.96 and 227,570.56 is: 314,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,390.40 : 522,240.96 = 227,570.56 : x
  2. Step 2: Convert to fraction form
    378,390.40/522,240.96 = 227,570.56/x
  3. Step 3: Cross multiply
    378,390.40x = 522,240.96 × 227,570.56
  4. Step 4: Simplify right side
    378,390.40x = 118,846,667,722.14
  5. Step 5: Solve for x
    x = 118,846,667,722.14/378,390.40
  6. Step 6: Final answer
    x = 314,084.79

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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.