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Finding the Fourth Proportional to 305,456.70, 421,553.30 and 169,516.32

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Solution

The fourth proportional to 305,456.70, 421,553.30 and 169,516.32 is: 233,945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,456.70 : 421,553.30 = 169,516.32 : x
  2. Step 2: Convert to fraction form
    305,456.70/421,553.30 = 169,516.32/x
  3. Step 3: Cross multiply
    305,456.70x = 421,553.30 × 169,516.32
  4. Step 4: Simplify right side
    305,456.70x = 71,460,163,252.27
  5. Step 5: Solve for x
    x = 71,460,163,252.27/305,456.70
  6. Step 6: Final answer
    x = 233,945.31

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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.