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Finding the Fourth Proportional to 300,530, 414,688.20 and 255,388.88

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Solution

The fourth proportional to 300,530, 414,688.20 and 255,388.88 is: 352,399.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,530 : 414,688.20 = 255,388.88 : x
  2. Step 2: Convert to fraction form
    300,530/414,688.20 = 255,388.88/x
  3. Step 3: Cross multiply
    300,530x = 414,688.20 × 255,388.88
  4. Step 4: Simplify right side
    300,530x = 105,906,754,947.22
  5. Step 5: Solve for x
    x = 105,906,754,947.22/300,530
  6. Step 6: Final answer
    x = 352,399.94

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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.