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Finding the Fourth Proportional to 305,743.16, 421,906.74 and 169,768.82

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Solution

The fourth proportional to 305,743.16, 421,906.74 and 169,768.82 is: 234,270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,743.16 : 421,906.74 = 169,768.82 : x
  2. Step 2: Convert to fraction form
    305,743.16/421,906.74 = 169,768.82/x
  3. Step 3: Cross multiply
    305,743.16x = 421,906.74 × 169,768.82
  4. Step 4: Simplify right side
    305,743.16x = 71,626,609,399.85
  5. Step 5: Solve for x
    x = 71,626,609,399.85/305,743.16
  6. Step 6: Final answer
    x = 234,270.52

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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.