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Finding the Fourth Proportional to 305,121.74, 421,092.78 and 169,198.27

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Solution

The fourth proportional to 305,121.74, 421,092.78 and 169,198.27 is: 233,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,121.74 : 421,092.78 = 169,198.27 : x
  2. Step 2: Convert to fraction form
    305,121.74/421,092.78 = 169,198.27/x
  3. Step 3: Cross multiply
    305,121.74x = 421,092.78 × 169,198.27
  4. Step 4: Simplify right side
    305,121.74x = 71,248,168,198.27
  5. Step 5: Solve for x
    x = 71,248,168,198.27/305,121.74
  6. Step 6: Final answer
    x = 233,507.35

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1.5x scale

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.