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Finding the Fourth Proportional to 288,174, 397,726.20 and 168,942

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Solution

The fourth proportional to 288,174, 397,726.20 and 168,942 is: 233,166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,174 : 397,726.20 = 168,942 : x
  2. Step 2: Convert to fraction form
    288,174/397,726.20 = 168,942/x
  3. Step 3: Cross multiply
    288,174x = 397,726.20 × 168,942
  4. Step 4: Simplify right side
    288,174x = 67,192,659,680.40
  5. Step 5: Solve for x
    x = 67,192,659,680.40/288,174
  6. Step 6: Final answer
    x = 233,166.97

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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.