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Finding the Fourth Proportional to 305,755.23, 421,928.04 and 169,797.81

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Solution

The fourth proportional to 305,755.23, 421,928.04 and 169,797.81 is: 234,313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,755.23 : 421,928.04 = 169,797.81 : x
  2. Step 2: Convert to fraction form
    305,755.23/421,928.04 = 169,797.81/x
  3. Step 3: Cross multiply
    305,755.23x = 421,928.04 × 169,797.81
  4. Step 4: Simplify right side
    305,755.23x = 71,642,457,169.59
  5. Step 5: Solve for x
    x = 71,642,457,169.59/305,755.23
  6. Step 6: Final answer
    x = 234,313.10

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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.