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Finding the Fourth Proportional to 305,221.37, 421,204.81 and 169,251.93

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Solution

The fourth proportional to 305,221.37, 421,204.81 and 169,251.93 is: 233,567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,221.37 : 421,204.81 = 169,251.93 : x
  2. Step 2: Convert to fraction form
    305,221.37/421,204.81 = 169,251.93/x
  3. Step 3: Cross multiply
    305,221.37x = 421,204.81 × 169,251.93
  4. Step 4: Simplify right side
    305,221.37x = 71,289,726,912.00
  5. Step 5: Solve for x
    x = 71,289,726,912.00/305,221.37
  6. Step 6: Final answer
    x = 233,567.29

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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.