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Finding the Fourth Proportional to 209,550.32, 289,323.84 and 196,166

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Solution

The fourth proportional to 209,550.32, 289,323.84 and 196,166 is: 270,844.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,550.32 : 289,323.84 = 196,166 : x
  2. Step 2: Convert to fraction form
    209,550.32/289,323.84 = 196,166/x
  3. Step 3: Cross multiply
    209,550.32x = 289,323.84 × 196,166
  4. Step 4: Simplify right side
    209,550.32x = 56,755,500,397.44
  5. Step 5: Solve for x
    x = 56,755,500,397.44/209,550.32
  6. Step 6: Final answer
    x = 270,844.26

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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.