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Finding the Fourth Proportional to 305,243.54, 421,249.68 and 169,268.36

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Solution

The fourth proportional to 305,243.54, 421,249.68 and 169,268.36 is: 233,597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,243.54 : 421,249.68 = 169,268.36 : x
  2. Step 2: Convert to fraction form
    305,243.54/421,249.68 = 169,268.36/x
  3. Step 3: Cross multiply
    305,243.54x = 421,249.68 × 169,268.36
  4. Step 4: Simplify right side
    305,243.54x = 71,304,242,484.12
  5. Step 5: Solve for x
    x = 71,304,242,484.12/305,243.54
  6. Step 6: Final answer
    x = 233,597.88

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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.