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Finding the Fourth Proportional to 305,314.79, 421,384.82 and 169,392.49

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Solution

The fourth proportional to 305,314.79, 421,384.82 and 169,392.49 is: 233,789.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,314.79 : 421,384.82 = 169,392.49 : x
  2. Step 2: Convert to fraction form
    305,314.79/421,384.82 = 169,392.49/x
  3. Step 3: Cross multiply
    305,314.79x = 421,384.82 × 169,392.49
  4. Step 4: Simplify right side
    305,314.79x = 71,379,422,007.58
  5. Step 5: Solve for x
    x = 71,379,422,007.58/305,314.79
  6. Step 6: Final answer
    x = 233,789.60

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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.