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Finding the Fourth Proportional to 378,043.76, 521,698.81 and 205,961.19

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Solution

The fourth proportional to 378,043.76, 521,698.81 and 205,961.19 is: 284,225.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,043.76 : 521,698.81 = 205,961.19 : x
  2. Step 2: Convert to fraction form
    378,043.76/521,698.81 = 205,961.19/x
  3. Step 3: Cross multiply
    378,043.76x = 521,698.81 × 205,961.19
  4. Step 4: Simplify right side
    378,043.76x = 107,449,707,729.18
  5. Step 5: Solve for x
    x = 107,449,707,729.18/378,043.76
  6. Step 6: Final answer
    x = 284,225.58

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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.