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Finding the Fourth Proportional to 358,138.98, 494,223.72 and 196,990.49

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Solution

The fourth proportional to 358,138.98, 494,223.72 and 196,990.49 is: 271,842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,138.98 : 494,223.72 = 196,990.49 : x
  2. Step 2: Convert to fraction form
    358,138.98/494,223.72 = 196,990.49/x
  3. Step 3: Cross multiply
    358,138.98x = 494,223.72 × 196,990.49
  4. Step 4: Simplify right side
    358,138.98x = 97,357,370,301.30
  5. Step 5: Solve for x
    x = 97,357,370,301.30/358,138.98
  6. Step 6: Final answer
    x = 271,842.43

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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.