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Finding the Fourth Proportional to 300,296.56, 414,367.32 and 255,157.36

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Solution

The fourth proportional to 300,296.56, 414,367.32 and 255,157.36 is: 352,081.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,296.56 : 414,367.32 = 255,157.36 : x
  2. Step 2: Convert to fraction form
    300,296.56/414,367.32 = 255,157.36/x
  3. Step 3: Cross multiply
    300,296.56x = 414,367.32 × 255,157.36
  4. Step 4: Simplify right side
    300,296.56x = 105,728,871,441.48
  5. Step 5: Solve for x
    x = 105,728,871,441.48/300,296.56
  6. Step 6: Final answer
    x = 352,081.53

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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.