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Finding the Fourth Proportional to 356,488.71, 491,954.42 and 205,585.71

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Solution

The fourth proportional to 356,488.71, 491,954.42 and 205,585.71 is: 283,708.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,488.71 : 491,954.42 = 205,585.71 : x
  2. Step 2: Convert to fraction form
    356,488.71/491,954.42 = 205,585.71/x
  3. Step 3: Cross multiply
    356,488.71x = 491,954.42 × 205,585.71
  4. Step 4: Simplify right side
    356,488.71x = 101,138,795,850.58
  5. Step 5: Solve for x
    x = 101,138,795,850.58/356,488.71
  6. Step 6: Final answer
    x = 283,708.27

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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.