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Finding the Fourth Proportional to 429,388.14, 643,101.20 and 204,906.21

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Solution

The fourth proportional to 429,388.14, 643,101.20 and 204,906.21 is: 306,891.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,388.14 : 643,101.20 = 204,906.21 : x
  2. Step 2: Convert to fraction form
    429,388.14/643,101.20 = 204,906.21/x
  3. Step 3: Cross multiply
    429,388.14x = 643,101.20 × 204,906.21
  4. Step 4: Simplify right side
    429,388.14x = 131,775,426,294.39
  5. Step 5: Solve for x
    x = 131,775,426,294.39/429,388.14
  6. Step 6: Final answer
    x = 306,891.17

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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.