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Finding the Fourth Proportional to 378,264.52, 521,948.82 and 217,125.64

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Solution

The fourth proportional to 378,264.52, 521,948.82 and 217,125.64 is: 299,601.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,264.52 : 521,948.82 = 217,125.64 : x
  2. Step 2: Convert to fraction form
    378,264.52/521,948.82 = 217,125.64/x
  3. Step 3: Cross multiply
    378,264.52x = 521,948.82 × 217,125.64
  4. Step 4: Simplify right side
    378,264.52x = 113,328,471,589.75
  5. Step 5: Solve for x
    x = 113,328,471,589.75/378,264.52
  6. Step 6: Final answer
    x = 299,601.11

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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.