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Finding the Fourth Proportional to 378,713.17, 522,649.79 and 217,632.43

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Solution

The fourth proportional to 378,713.17, 522,649.79 and 217,632.43 is: 300,347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,713.17 : 522,649.79 = 217,632.43 : x
  2. Step 2: Convert to fraction form
    378,713.17/522,649.79 = 217,632.43/x
  3. Step 3: Cross multiply
    378,713.17x = 522,649.79 × 217,632.43
  4. Step 4: Simplify right side
    378,713.17x = 113,745,543,836.69
  5. Step 5: Solve for x
    x = 113,745,543,836.69/378,713.17
  6. Step 6: Final answer
    x = 300,347.47

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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.