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Finding the Fourth Proportional to 290,912.28, 401,444.28 and 163,580.28

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Solution

The fourth proportional to 290,912.28, 401,444.28 and 163,580.28 is: 225,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,912.28 : 401,444.28 = 163,580.28 : x
  2. Step 2: Convert to fraction form
    290,912.28/401,444.28 = 163,580.28/x
  3. Step 3: Cross multiply
    290,912.28x = 401,444.28 × 163,580.28
  4. Step 4: Simplify right side
    290,912.28x = 65,668,367,726.80
  5. Step 5: Solve for x
    x = 65,668,367,726.80/290,912.28
  6. Step 6: Final answer
    x = 225,732.54

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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.