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Finding the Fourth Proportional to 352,146.49, 485,949.04 and 208,820.77

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Solution

The fourth proportional to 352,146.49, 485,949.04 and 208,820.77 is: 288,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,146.49 : 485,949.04 = 208,820.77 : x
  2. Step 2: Convert to fraction form
    352,146.49/485,949.04 = 208,820.77/x
  3. Step 3: Cross multiply
    352,146.49x = 485,949.04 × 208,820.77
  4. Step 4: Simplify right side
    352,146.49x = 101,476,252,713.56
  5. Step 5: Solve for x
    x = 101,476,252,713.56/352,146.49
  6. Step 6: Final answer
    x = 288,164.88

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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.