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Finding the Fourth Proportional to 305,785.68, 421,969.92 and 169,828.40

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Solution

The fourth proportional to 305,785.68, 421,969.92 and 169,828.40 is: 234,355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,785.68 : 421,969.92 = 169,828.40 : x
  2. Step 2: Convert to fraction form
    305,785.68/421,969.92 = 169,828.40/x
  3. Step 3: Cross multiply
    305,785.68x = 421,969.92 × 169,828.40
  4. Step 4: Simplify right side
    305,785.68x = 71,662,476,361.73
  5. Step 5: Solve for x
    x = 71,662,476,361.73/305,785.68
  6. Step 6: Final answer
    x = 234,355.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.