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Finding the Fourth Proportional to 305,203.47, 421,185.81 and 169,243.14

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Solution

The fourth proportional to 305,203.47, 421,185.81 and 169,243.14 is: 233,558.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,203.47 : 421,185.81 = 169,243.14 : x
  2. Step 2: Convert to fraction form
    305,203.47/421,185.81 = 169,243.14/x
  3. Step 3: Cross multiply
    305,203.47x = 421,185.81 × 169,243.14
  4. Step 4: Simplify right side
    305,203.47x = 71,282,809,007.84
  5. Step 5: Solve for x
    x = 71,282,809,007.84/305,203.47
  6. Step 6: Final answer
    x = 233,558.32

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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.