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Finding the Fourth Proportional to 300,213.36, 414,151.29 and 185,450.69

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Solution

The fourth proportional to 300,213.36, 414,151.29 and 185,450.69 is: 255,833.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,213.36 : 414,151.29 = 185,450.69 : x
  2. Step 2: Convert to fraction form
    300,213.36/414,151.29 = 185,450.69/x
  3. Step 3: Cross multiply
    300,213.36x = 414,151.29 × 185,450.69
  4. Step 4: Simplify right side
    300,213.36x = 76,804,643,530.27
  5. Step 5: Solve for x
    x = 76,804,643,530.27/300,213.36
  6. Step 6: Final answer
    x = 255,833.53

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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.