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Finding the Fourth Proportional to 300,305.28, 414,414.80 and 164,338.64

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Solution

The fourth proportional to 300,305.28, 414,414.80 and 164,338.64 is: 226,783.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,305.28 : 414,414.80 = 164,338.64 : x
  2. Step 2: Convert to fraction form
    300,305.28/414,414.80 = 164,338.64/x
  3. Step 3: Cross multiply
    300,305.28x = 414,414.80 × 164,338.64
  4. Step 4: Simplify right side
    300,305.28x = 68,104,364,627.87
  5. Step 5: Solve for x
    x = 68,104,364,627.87/300,305.28
  6. Step 6: Final answer
    x = 226,783.77

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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.