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Finding the Fourth Proportional to 305,159.29, 421,102.94 and 169,185.29

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Solution

The fourth proportional to 305,159.29, 421,102.94 and 169,185.29 is: 233,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,159.29 : 421,102.94 = 169,185.29 : x
  2. Step 2: Convert to fraction form
    305,159.29/421,102.94 = 169,185.29/x
  3. Step 3: Cross multiply
    305,159.29x = 421,102.94 × 169,185.29
  4. Step 4: Simplify right side
    305,159.29x = 71,244,420,072.31
  5. Step 5: Solve for x
    x = 71,244,420,072.31/305,159.29
  6. Step 6: Final answer
    x = 233,466.33

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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.