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Finding the Fourth Proportional to 300,693.06, 414,858.78 and 205,033.68

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Solution

The fourth proportional to 300,693.06, 414,858.78 and 205,033.68 is: 282,879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,693.06 : 414,858.78 = 205,033.68 : x
  2. Step 2: Convert to fraction form
    300,693.06/414,858.78 = 205,033.68/x
  3. Step 3: Cross multiply
    300,693.06x = 414,858.78 × 205,033.68
  4. Step 4: Simplify right side
    300,693.06x = 85,060,022,343.71
  5. Step 5: Solve for x
    x = 85,060,022,343.71/300,693.06
  6. Step 6: Final answer
    x = 282,879.90

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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.