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Finding the Fourth Proportional to 300,278.46, 414,380.66 and 164,310.90

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Solution

The fourth proportional to 300,278.46, 414,380.66 and 164,310.90 is: 226,747.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,278.46 : 414,380.66 = 164,310.90 : x
  2. Step 2: Convert to fraction form
    300,278.46/414,380.66 = 164,310.90/x
  3. Step 3: Cross multiply
    300,278.46x = 414,380.66 × 164,310.90
  4. Step 4: Simplify right side
    300,278.46x = 68,087,259,187.19
  5. Step 5: Solve for x
    x = 68,087,259,187.19/300,278.46
  6. Step 6: Final answer
    x = 226,747.06

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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.