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Finding the Fourth Proportional to 378,464.40, 522,257.22 and 217,206

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Solution

The fourth proportional to 378,464.40, 522,257.22 and 217,206 is: 299,730.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,464.40 : 522,257.22 = 217,206 : x
  2. Step 2: Convert to fraction form
    378,464.40/522,257.22 = 217,206/x
  3. Step 3: Cross multiply
    378,464.40x = 522,257.22 × 217,206
  4. Step 4: Simplify right side
    378,464.40x = 113,437,401,727.32
  5. Step 5: Solve for x
    x = 113,437,401,727.32/378,464.40
  6. Step 6: Final answer
    x = 299,730.71

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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.