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Finding the Fourth Proportional to 300,456.20, 414,629.55 and 166,320.20

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Solution

The fourth proportional to 300,456.20, 414,629.55 and 166,320.20 is: 229,521.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,456.20 : 414,629.55 = 166,320.20 : x
  2. Step 2: Convert to fraction form
    300,456.20/414,629.55 = 166,320.20/x
  3. Step 3: Cross multiply
    300,456.20x = 414,629.55 × 166,320.20
  4. Step 4: Simplify right side
    300,456.20x = 68,961,269,681.91
  5. Step 5: Solve for x
    x = 68,961,269,681.91/300,456.20
  6. Step 6: Final answer
    x = 229,521.87

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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.