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Finding the Fourth Proportional to 305,571.09, 421,681.75 and 169,597.06

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Solution

The fourth proportional to 305,571.09, 421,681.75 and 169,597.06 is: 234,040.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,571.09 : 421,681.75 = 169,597.06 : x
  2. Step 2: Convert to fraction form
    305,571.09/421,681.75 = 169,597.06/x
  3. Step 3: Cross multiply
    305,571.09x = 421,681.75 × 169,597.06
  4. Step 4: Simplify right side
    305,571.09x = 71,515,985,055.66
  5. Step 5: Solve for x
    x = 71,515,985,055.66/305,571.09
  6. Step 6: Final answer
    x = 234,040.42

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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.