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Finding the Fourth Proportional to 408,923.81, 613,452.30 and 120,764.60

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Solution

The fourth proportional to 408,923.81, 613,452.30 and 120,764.60 is: 181,166.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,923.81 : 613,452.30 = 120,764.60 : x
  2. Step 2: Convert to fraction form
    408,923.81/613,452.30 = 120,764.60/x
  3. Step 3: Cross multiply
    408,923.81x = 613,452.30 × 120,764.60
  4. Step 4: Simplify right side
    408,923.81x = 74,083,321,628.58
  5. Step 5: Solve for x
    x = 74,083,321,628.58/408,923.81
  6. Step 6: Final answer
    x = 181,166.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.