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Finding the Fourth Proportional to 378,043.64, 521,700.72 and 205,960.76

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Solution

The fourth proportional to 378,043.64, 521,700.72 and 205,960.76 is: 284,226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,043.64 : 521,700.72 = 205,960.76 : x
  2. Step 2: Convert to fraction form
    378,043.64/521,700.72 = 205,960.76/x
  3. Step 3: Cross multiply
    378,043.64x = 521,700.72 × 205,960.76
  4. Step 4: Simplify right side
    378,043.64x = 107,449,876,783.75
  5. Step 5: Solve for x
    x = 107,449,876,783.75/378,043.64
  6. Step 6: Final answer
    x = 284,226.12

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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.