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Finding the Fourth Proportional to 300,450.20, 414,621.27 and 166,314.20

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Solution

The fourth proportional to 300,450.20, 414,621.27 and 166,314.20 is: 229,513.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,450.20 : 414,621.27 = 166,314.20 : x
  2. Step 2: Convert to fraction form
    300,450.20/414,621.27 = 166,314.20/x
  3. Step 3: Cross multiply
    300,450.20x = 414,621.27 × 166,314.20
  4. Step 4: Simplify right side
    300,450.20x = 68,957,402,749.93
  5. Step 5: Solve for x
    x = 68,957,402,749.93/300,450.20
  6. Step 6: Final answer
    x = 229,513.59

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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.