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Finding the Fourth Proportional to 300,110.10, 414,146.12 and 164,143.65

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Solution

The fourth proportional to 300,110.10, 414,146.12 and 164,143.65 is: 226,515.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,110.10 : 414,146.12 = 164,143.65 : x
  2. Step 2: Convert to fraction form
    300,110.10/414,146.12 = 164,143.65/x
  3. Step 3: Cross multiply
    300,110.10x = 414,146.12 × 164,143.65
  4. Step 4: Simplify right side
    300,110.10x = 67,979,454,949.42
  5. Step 5: Solve for x
    x = 67,979,454,949.42/300,110.10
  6. Step 6: Final answer
    x = 226,515.05

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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.