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Finding the Fourth Proportional to 300,406.28, 414,561.48 and 166,270.28

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Solution

The fourth proportional to 300,406.28, 414,561.48 and 166,270.28 is: 229,453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,406.28 : 414,561.48 = 166,270.28 : x
  2. Step 2: Convert to fraction form
    300,406.28/414,561.48 = 166,270.28/x
  3. Step 3: Cross multiply
    300,406.28x = 414,561.48 × 166,270.28
  4. Step 4: Simplify right side
    300,406.28x = 68,929,253,356.81
  5. Step 5: Solve for x
    x = 68,929,253,356.81/300,406.28
  6. Step 6: Final answer
    x = 229,453.44

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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.