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Finding the Fourth Proportional to 358,121.68, 494,208.18 and 196,989

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Solution

The fourth proportional to 358,121.68, 494,208.18 and 196,989 is: 271,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,121.68 : 494,208.18 = 196,989 : x
  2. Step 2: Convert to fraction form
    358,121.68/494,208.18 = 196,989/x
  3. Step 3: Cross multiply
    358,121.68x = 494,208.18 × 196,989
  4. Step 4: Simplify right side
    358,121.68x = 97,353,575,170.02
  5. Step 5: Solve for x
    x = 97,353,575,170.02/358,121.68
  6. Step 6: Final answer
    x = 271,844.96

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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.