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Finding the Fourth Proportional to 206,080.77, 310,710.41 and 204,801.38

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Solution

The fourth proportional to 206,080.77, 310,710.41 and 204,801.38 is: 308,781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,080.77 : 310,710.41 = 204,801.38 : x
  2. Step 2: Convert to fraction form
    206,080.77/310,710.41 = 204,801.38/x
  3. Step 3: Cross multiply
    206,080.77x = 310,710.41 × 204,801.38
  4. Step 4: Simplify right side
    206,080.77x = 63,633,918,170.81
  5. Step 5: Solve for x
    x = 63,633,918,170.81/206,080.77
  6. Step 6: Final answer
    x = 308,781.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.