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Finding the Fourth Proportional to 389,081.97, 536,933.12 and 210,233.97

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Solution

The fourth proportional to 389,081.97, 536,933.12 and 210,233.97 is: 290,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,081.97 : 536,933.12 = 210,233.97 : x
  2. Step 2: Convert to fraction form
    389,081.97/536,933.12 = 210,233.97/x
  3. Step 3: Cross multiply
    389,081.97x = 536,933.12 × 210,233.97
  4. Step 4: Simplify right side
    389,081.97x = 112,881,581,442.09
  5. Step 5: Solve for x
    x = 112,881,581,442.09/389,081.97
  6. Step 6: Final answer
    x = 290,122.88

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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.