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Finding the Fourth Proportional to 300,785.40, 414,972.32 and 193,414.64

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Solution

The fourth proportional to 300,785.40, 414,972.32 and 193,414.64 is: 266,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,785.40 : 414,972.32 = 193,414.64 : x
  2. Step 2: Convert to fraction form
    300,785.40/414,972.32 = 193,414.64/x
  3. Step 3: Cross multiply
    300,785.40x = 414,972.32 × 193,414.64
  4. Step 4: Simplify right side
    300,785.40x = 80,261,718,840.83
  5. Step 5: Solve for x
    x = 80,261,718,840.83/300,785.40
  6. Step 6: Final answer
    x = 266,840.47

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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.