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Finding the Fourth Proportional to 288,135.75, 397,679.39 and 171,856.68

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Solution

The fourth proportional to 288,135.75, 397,679.39 and 171,856.68 is: 237,193.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,135.75 : 397,679.39 = 171,856.68 : x
  2. Step 2: Convert to fraction form
    288,135.75/397,679.39 = 171,856.68/x
  3. Step 3: Cross multiply
    288,135.75x = 397,679.39 × 171,856.68
  4. Step 4: Simplify right side
    288,135.75x = 68,343,857,963.71
  5. Step 5: Solve for x
    x = 68,343,857,963.71/288,135.75
  6. Step 6: Final answer
    x = 237,193.26

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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.