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Finding the Fourth Proportional to 355,188, 490,159.44 and 196,212

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Solution

The fourth proportional to 355,188, 490,159.44 and 196,212 is: 270,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,188 : 490,159.44 = 196,212 : x
  2. Step 2: Convert to fraction form
    355,188/490,159.44 = 196,212/x
  3. Step 3: Cross multiply
    355,188x = 490,159.44 × 196,212
  4. Step 4: Simplify right side
    355,188x = 96,175,164,041.28
  5. Step 5: Solve for x
    x = 96,175,164,041.28/355,188
  6. Step 6: Final answer
    x = 270,772.56

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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.