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Finding the Fourth Proportional to 304,969.78, 420,859.29 and 169,005.97

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Solution

The fourth proportional to 304,969.78, 420,859.29 and 169,005.97 is: 233,228.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,969.78 : 420,859.29 = 169,005.97 : x
  2. Step 2: Convert to fraction form
    304,969.78/420,859.29 = 169,005.97/x
  3. Step 3: Cross multiply
    304,969.78x = 420,859.29 × 169,005.97
  4. Step 4: Simplify right side
    304,969.78x = 71,127,731,694.93
  5. Step 5: Solve for x
    x = 71,127,731,694.93/304,969.78
  6. Step 6: Final answer
    x = 233,228.79

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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.