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Finding the Fourth Proportional to 358,324.94, 494,508.83 and 205,388.57

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Solution

The fourth proportional to 358,324.94, 494,508.83 and 205,388.57 is: 283,447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,324.94 : 494,508.83 = 205,388.57 : x
  2. Step 2: Convert to fraction form
    358,324.94/494,508.83 = 205,388.57/x
  3. Step 3: Cross multiply
    358,324.94x = 494,508.83 × 205,388.57
  4. Step 4: Simplify right side
    358,324.94x = 101,566,458,973.53
  5. Step 5: Solve for x
    x = 101,566,458,973.53/358,324.94
  6. Step 6: Final answer
    x = 283,447.92

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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.