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Finding the Fourth Proportional to 290,960.78, 401,511.21 and 163,628.78

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Solution

The fourth proportional to 290,960.78, 401,511.21 and 163,628.78 is: 225,799.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,960.78 : 401,511.21 = 163,628.78 : x
  2. Step 2: Convert to fraction form
    290,960.78/401,511.21 = 163,628.78/x
  3. Step 3: Cross multiply
    290,960.78x = 401,511.21 × 163,628.78
  4. Step 4: Simplify right side
    290,960.78x = 65,698,789,448.62
  5. Step 5: Solve for x
    x = 65,698,789,448.62/290,960.78
  6. Step 6: Final answer
    x = 225,799.47

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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.