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Finding the Fourth Proportional to 352,138.85, 485,951.63 and 199,173.74

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Solution

The fourth proportional to 352,138.85, 485,951.63 and 199,173.74 is: 274,859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,138.85 : 485,951.63 = 199,173.74 : x
  2. Step 2: Convert to fraction form
    352,138.85/485,951.63 = 199,173.74/x
  3. Step 3: Cross multiply
    352,138.85x = 485,951.63 × 199,173.74
  4. Step 4: Simplify right side
    352,138.85x = 96,788,805,319.01
  5. Step 5: Solve for x
    x = 96,788,805,319.01/352,138.85
  6. Step 6: Final answer
    x = 274,859.78

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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.