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Finding the Fourth Proportional to 305,432, 421,496.40 and 171,296

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Solution

The fourth proportional to 305,432, 421,496.40 and 171,296 is: 236,388.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,432 : 421,496.40 = 171,296 : x
  2. Step 2: Convert to fraction form
    305,432/421,496.40 = 171,296/x
  3. Step 3: Cross multiply
    305,432x = 421,496.40 × 171,296
  4. Step 4: Simplify right side
    305,432x = 72,200,647,334.40
  5. Step 5: Solve for x
    x = 72,200,647,334.40/305,432
  6. Step 6: Final answer
    x = 236,388.61

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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.