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Finding the Fourth Proportional to 290,964.96, 401,527.43 and 163,640.55

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Solution

The fourth proportional to 290,964.96, 401,527.43 and 163,640.55 is: 225,821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,964.96 : 401,527.43 = 163,640.55 : x
  2. Step 2: Convert to fraction form
    290,964.96/401,527.43 = 163,640.55/x
  3. Step 3: Cross multiply
    290,964.96x = 401,527.43 × 163,640.55
  4. Step 4: Simplify right side
    290,964.96x = 65,706,170,786.46
  5. Step 5: Solve for x
    x = 65,706,170,786.46/290,964.96
  6. Step 6: Final answer
    x = 225,821.59

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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.