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Finding the Fourth Proportional to 305,211, 421,191.18 and 171,075

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Solution

The fourth proportional to 305,211, 421,191.18 and 171,075 is: 236,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,211 : 421,191.18 = 171,075 : x
  2. Step 2: Convert to fraction form
    305,211/421,191.18 = 171,075/x
  3. Step 3: Cross multiply
    305,211x = 421,191.18 × 171,075
  4. Step 4: Simplify right side
    305,211x = 72,055,281,118.50
  5. Step 5: Solve for x
    x = 72,055,281,118.50/305,211
  6. Step 6: Final answer
    x = 236,083.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.