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Finding the Fourth Proportional to 357,452.60, 493,288 and 196,311

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Solution

The fourth proportional to 357,452.60, 493,288 and 196,311 is: 270,911.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,452.60 : 493,288 = 196,311 : x
  2. Step 2: Convert to fraction form
    357,452.60/493,288 = 196,311/x
  3. Step 3: Cross multiply
    357,452.60x = 493,288 × 196,311
  4. Step 4: Simplify right side
    357,452.60x = 96,837,860,568
  5. Step 5: Solve for x
    x = 96,837,860,568/357,452.60
  6. Step 6: Final answer
    x = 270,911.05

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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.