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Finding the Fourth Proportional to 263,309.49, 363,366.59 and 142,450.87

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Solution

The fourth proportional to 263,309.49, 363,366.59 and 142,450.87 is: 196,581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,309.49 : 363,366.59 = 142,450.87 : x
  2. Step 2: Convert to fraction form
    263,309.49/363,366.59 = 142,450.87/x
  3. Step 3: Cross multiply
    263,309.49x = 363,366.59 × 142,450.87
  4. Step 4: Simplify right side
    263,309.49x = 51,761,886,874.43
  5. Step 5: Solve for x
    x = 51,761,886,874.43/263,309.49
  6. Step 6: Final answer
    x = 196,581.93

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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.