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Finding the Fourth Proportional to 305,039.82, 420,980.16 and 169,116.41

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Solution

The fourth proportional to 305,039.82, 420,980.16 and 169,116.41 is: 233,394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,039.82 : 420,980.16 = 169,116.41 : x
  2. Step 2: Convert to fraction form
    305,039.82/420,980.16 = 169,116.41/x
  3. Step 3: Cross multiply
    305,039.82x = 420,980.16 × 169,116.41
  4. Step 4: Simplify right side
    305,039.82x = 71,194,652,183.41
  5. Step 5: Solve for x
    x = 71,194,652,183.41/305,039.82
  6. Step 6: Final answer
    x = 233,394.61

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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.