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Finding the Fourth Proportional to 305,571.34, 421,682.10 and 169,597.31

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Solution

The fourth proportional to 305,571.34, 421,682.10 and 169,597.31 is: 234,040.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,571.34 : 421,682.10 = 169,597.31 : x
  2. Step 2: Convert to fraction form
    305,571.34/421,682.10 = 169,597.31/x
  3. Step 3: Cross multiply
    305,571.34x = 421,682.10 × 169,597.31
  4. Step 4: Simplify right side
    305,571.34x = 71,516,148,987.16
  5. Step 5: Solve for x
    x = 71,516,148,987.16/305,571.34
  6. Step 6: Final answer
    x = 234,040.76

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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.