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Finding the Fourth Proportional to 300,309.56, 414,577.32 and 172,960.64

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Solution

The fourth proportional to 300,309.56, 414,577.32 and 172,960.64 is: 238,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,309.56 : 414,577.32 = 172,960.64 : x
  2. Step 2: Convert to fraction form
    300,309.56/414,577.32 = 172,960.64/x
  3. Step 3: Cross multiply
    300,309.56x = 414,577.32 × 172,960.64
  4. Step 4: Simplify right side
    300,309.56x = 71,705,558,596.68
  5. Step 5: Solve for x
    x = 71,705,558,596.68/300,309.56
  6. Step 6: Final answer
    x = 238,772.15

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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.