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Finding the Fourth Proportional to 355,648, 490,794.24 and 196,672

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Solution

The fourth proportional to 355,648, 490,794.24 and 196,672 is: 271,407.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,648 : 490,794.24 = 196,672 : x
  2. Step 2: Convert to fraction form
    355,648/490,794.24 = 196,672/x
  3. Step 3: Cross multiply
    355,648x = 490,794.24 × 196,672
  4. Step 4: Simplify right side
    355,648x = 96,525,484,769.28
  5. Step 5: Solve for x
    x = 96,525,484,769.28/355,648
  6. Step 6: Final answer
    x = 271,407.36

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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.