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Finding the Fourth Proportional to 289,485.48, 399,519.42 and 166,982.52

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Solution

The fourth proportional to 289,485.48, 399,519.42 and 166,982.52 is: 230,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,485.48 : 399,519.42 = 166,982.52 : x
  2. Step 2: Convert to fraction form
    289,485.48/399,519.42 = 166,982.52/x
  3. Step 3: Cross multiply
    289,485.48x = 399,519.42 × 166,982.52
  4. Step 4: Simplify right side
    289,485.48x = 66,712,759,540.54
  5. Step 5: Solve for x
    x = 66,712,759,540.54/289,485.48
  6. Step 6: Final answer
    x = 230,452.87

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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.