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Finding the Fourth Proportional to 289,391.54, 399,288.18 and 166,921.36

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Solution

The fourth proportional to 289,391.54, 399,288.18 and 166,921.36 is: 230,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,391.54 : 399,288.18 = 166,921.36 : x
  2. Step 2: Convert to fraction form
    289,391.54/399,288.18 = 166,921.36/x
  3. Step 3: Cross multiply
    289,391.54x = 399,288.18 × 166,921.36
  4. Step 4: Simplify right side
    289,391.54x = 66,649,725,665.26
  5. Step 5: Solve for x
    x = 66,649,725,665.26/289,391.54
  6. Step 6: Final answer
    x = 230,309.87

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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.