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Finding the Fourth Proportional to 305,116.14, 421,060.22 and 169,149.74

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Solution

The fourth proportional to 305,116.14, 421,060.22 and 169,149.74 is: 233,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,116.14 : 421,060.22 = 169,149.74 : x
  2. Step 2: Convert to fraction form
    305,116.14/421,060.22 = 169,149.74/x
  3. Step 3: Cross multiply
    305,116.14x = 421,060.22 × 169,149.74
  4. Step 4: Simplify right side
    305,116.14x = 71,222,223,786.29
  5. Step 5: Solve for x
    x = 71,222,223,786.29/305,116.14
  6. Step 6: Final answer
    x = 233,426.60

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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.