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Finding the Fourth Proportional to 300,172.08, 414,222 and 164,179.56

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Solution

The fourth proportional to 300,172.08, 414,222 and 164,179.56 is: 226,559.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,172.08 : 414,222 = 164,179.56 : x
  2. Step 2: Convert to fraction form
    300,172.08/414,222 = 164,179.56/x
  3. Step 3: Cross multiply
    300,172.08x = 414,222 × 164,179.56
  4. Step 4: Simplify right side
    300,172.08x = 68,006,785,702.32
  5. Step 5: Solve for x
    x = 68,006,785,702.32/300,172.08
  6. Step 6: Final answer
    x = 226,559.33

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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.