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Finding the Fourth Proportional to 288,161.72, 397,667.27 and 160,837.31

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Solution

The fourth proportional to 288,161.72, 397,667.27 and 160,837.31 is: 221,957.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,161.72 : 397,667.27 = 160,837.31 : x
  2. Step 2: Convert to fraction form
    288,161.72/397,667.27 = 160,837.31/x
  3. Step 3: Cross multiply
    288,161.72x = 397,667.27 × 160,837.31
  4. Step 4: Simplify right side
    288,161.72x = 63,959,735,378.11
  5. Step 5: Solve for x
    x = 63,959,735,378.11/288,161.72
  6. Step 6: Final answer
    x = 221,957.78

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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.