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Finding the Fourth Proportional to 315,496.44, 434,932.92 and 194,556.60

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Solution

The fourth proportional to 315,496.44, 434,932.92 and 194,556.60 is: 268,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,496.44 : 434,932.92 = 194,556.60 : x
  2. Step 2: Convert to fraction form
    315,496.44/434,932.92 = 194,556.60/x
  3. Step 3: Cross multiply
    315,496.44x = 434,932.92 × 194,556.60
  4. Step 4: Simplify right side
    315,496.44x = 84,619,070,143.27
  5. Step 5: Solve for x
    x = 84,619,070,143.27/315,496.44
  6. Step 6: Final answer
    x = 268,209.27

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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.