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Finding the Fourth Proportional to 305,071.38, 420,993.18 and 169,104.78

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Solution

The fourth proportional to 305,071.38, 420,993.18 and 169,104.78 is: 233,361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,071.38 : 420,993.18 = 169,104.78 : x
  2. Step 2: Convert to fraction form
    305,071.38/420,993.18 = 169,104.78/x
  3. Step 3: Cross multiply
    305,071.38x = 420,993.18 × 169,104.78
  4. Step 4: Simplify right side
    305,071.38x = 71,191,959,085.40
  5. Step 5: Solve for x
    x = 71,191,959,085.40/305,071.38
  6. Step 6: Final answer
    x = 233,361.65

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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.