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Finding the Fourth Proportional to 378,952.84, 522,936.52 and 215,593.96

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Solution

The fourth proportional to 378,952.84, 522,936.52 and 215,593.96 is: 297,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,952.84 : 522,936.52 = 215,593.96 : x
  2. Step 2: Convert to fraction form
    378,952.84/522,936.52 = 215,593.96/x
  3. Step 3: Cross multiply
    378,952.84x = 522,936.52 × 215,593.96
  4. Step 4: Simplify right side
    378,952.84x = 112,741,955,175.42
  5. Step 5: Solve for x
    x = 112,741,955,175.42/378,952.84
  6. Step 6: Final answer
    x = 297,509.20

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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.