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Finding the Fourth Proportional to 378,634.91, 522,498.60 and 217,376.46

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Solution

The fourth proportional to 378,634.91, 522,498.60 and 217,376.46 is: 299,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,634.91 : 522,498.60 = 217,376.46 : x
  2. Step 2: Convert to fraction form
    378,634.91/522,498.60 = 217,376.46/x
  3. Step 3: Cross multiply
    378,634.91x = 522,498.60 × 217,376.46
  4. Step 4: Simplify right side
    378,634.91x = 113,578,896,022.96
  5. Step 5: Solve for x
    x = 113,578,896,022.96/378,634.91
  6. Step 6: Final answer
    x = 299,969.43

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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.