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Finding the Fourth Proportional to 378,069.71, 521,742.21 and 205,995.80

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Solution

The fourth proportional to 378,069.71, 521,742.21 and 205,995.80 is: 284,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,069.71 : 521,742.21 = 205,995.80 : x
  2. Step 2: Convert to fraction form
    378,069.71/521,742.21 = 205,995.80/x
  3. Step 3: Cross multiply
    378,069.71x = 521,742.21 × 205,995.80
  4. Step 4: Simplify right side
    378,069.71x = 107,476,701,334.01
  5. Step 5: Solve for x
    x = 107,476,701,334.01/378,069.71
  6. Step 6: Final answer
    x = 284,277.48

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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.