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Finding the Fourth Proportional to 538,710, 808,181.64 and 206,286

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Solution

The fourth proportional to 538,710, 808,181.64 and 206,286 is: 309,473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,710 : 808,181.64 = 206,286 : x
  2. Step 2: Convert to fraction form
    538,710/808,181.64 = 206,286/x
  3. Step 3: Cross multiply
    538,710x = 808,181.64 × 206,286
  4. Step 4: Simplify right side
    538,710x = 166,716,557,789.04
  5. Step 5: Solve for x
    x = 166,716,557,789.04/538,710
  6. Step 6: Final answer
    x = 309,473.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.