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Finding the Fourth Proportional to 368,198.42, 508,116.77 and 204,857.28

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Solution

The fourth proportional to 368,198.42, 508,116.77 and 204,857.28 is: 282,704.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,198.42 : 508,116.77 = 204,857.28 : x
  2. Step 2: Convert to fraction form
    368,198.42/508,116.77 = 204,857.28/x
  3. Step 3: Cross multiply
    368,198.42x = 508,116.77 × 204,857.28
  4. Step 4: Simplify right side
    368,198.42x = 104,091,418,400.30
  5. Step 5: Solve for x
    x = 104,091,418,400.30/368,198.42
  6. Step 6: Final answer
    x = 282,704.69

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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.