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Finding the Fourth Proportional to 300,183.78, 414,256.89 and 164,214.81

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Solution

The fourth proportional to 300,183.78, 414,256.89 and 164,214.81 is: 226,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,183.78 : 414,256.89 = 164,214.81 : x
  2. Step 2: Convert to fraction form
    300,183.78/414,256.89 = 164,214.81/x
  3. Step 3: Cross multiply
    300,183.78x = 414,256.89 × 164,214.81
  4. Step 4: Simplify right side
    300,183.78x = 68,027,115,661.47
  5. Step 5: Solve for x
    x = 68,027,115,661.47/300,183.78
  6. Step 6: Final answer
    x = 226,618.23

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1.5x scale

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.