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Finding the Fourth Proportional to 288,959.72, 398,794.41 and 166,456.35

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Solution

The fourth proportional to 288,959.72, 398,794.41 and 166,456.35 is: 229,727.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,959.72 : 398,794.41 = 166,456.35 : x
  2. Step 2: Convert to fraction form
    288,959.72/398,794.41 = 166,456.35/x
  3. Step 3: Cross multiply
    288,959.72x = 398,794.41 × 166,456.35
  4. Step 4: Simplify right side
    288,959.72x = 66,381,861,889.00
  5. Step 5: Solve for x
    x = 66,381,861,889.00/288,959.72
  6. Step 6: Final answer
    x = 229,727.05

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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.