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Finding the Fourth Proportional to 305,708.85, 421,879.03 and 169,743.06

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Solution

The fourth proportional to 305,708.85, 421,879.03 and 169,743.06 is: 234,245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,708.85 : 421,879.03 = 169,743.06 : x
  2. Step 2: Convert to fraction form
    305,708.85/421,879.03 = 169,743.06/x
  3. Step 3: Cross multiply
    305,708.85x = 421,879.03 × 169,743.06
  4. Step 4: Simplify right side
    305,708.85x = 71,611,038,032.48
  5. Step 5: Solve for x
    x = 71,611,038,032.48/305,708.85
  6. Step 6: Final answer
    x = 234,245.88

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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.