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Finding the Fourth Proportional to 305,224.56, 421,198.20 and 169,264.08

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Solution

The fourth proportional to 305,224.56, 421,198.20 and 169,264.08 is: 233,577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,224.56 : 421,198.20 = 169,264.08 : x
  2. Step 2: Convert to fraction form
    305,224.56/421,198.20 = 169,264.08/x
  3. Step 3: Cross multiply
    305,224.56x = 421,198.20 × 169,264.08
  4. Step 4: Simplify right side
    305,224.56x = 71,293,725,820.66
  5. Step 5: Solve for x
    x = 71,293,725,820.66/305,224.56
  6. Step 6: Final answer
    x = 233,577.95

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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.