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Finding the Fourth Proportional to 358,098.88, 494,188.56 and 196,960

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Solution

The fourth proportional to 358,098.88, 494,188.56 and 196,960 is: 271,811.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,098.88 : 494,188.56 = 196,960 : x
  2. Step 2: Convert to fraction form
    358,098.88/494,188.56 = 196,960/x
  3. Step 3: Cross multiply
    358,098.88x = 494,188.56 × 196,960
  4. Step 4: Simplify right side
    358,098.88x = 97,335,378,777.60
  5. Step 5: Solve for x
    x = 97,335,378,777.60/358,098.88
  6. Step 6: Final answer
    x = 271,811.46

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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.