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Finding the Fourth Proportional to 262,288.36, 361,944.42 and 143,033.32

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Solution

The fourth proportional to 262,288.36, 361,944.42 and 143,033.32 is: 197,378.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,288.36 : 361,944.42 = 143,033.32 : x
  2. Step 2: Convert to fraction form
    262,288.36/361,944.42 = 143,033.32/x
  3. Step 3: Cross multiply
    262,288.36x = 361,944.42 × 143,033.32
  4. Step 4: Simplify right side
    262,288.36x = 51,770,112,048.07
  5. Step 5: Solve for x
    x = 51,770,112,048.07/262,288.36
  6. Step 6: Final answer
    x = 197,378.61

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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.