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Finding the Fourth Proportional to 305,414.84, 421,458.25 and 169,447.34

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Solution

The fourth proportional to 305,414.84, 421,458.25 and 169,447.34 is: 233,829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,414.84 : 421,458.25 = 169,447.34 : x
  2. Step 2: Convert to fraction form
    305,414.84/421,458.25 = 169,447.34/x
  3. Step 3: Cross multiply
    305,414.84x = 421,458.25 × 169,447.34
  4. Step 4: Simplify right side
    305,414.84x = 71,414,979,383.56
  5. Step 5: Solve for x
    x = 71,414,979,383.56/305,414.84
  6. Step 6: Final answer
    x = 233,829.43

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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.