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Finding the Fourth Proportional to 327,171, 490,871.70 and 161,075.64

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Solution

The fourth proportional to 327,171, 490,871.70 and 161,075.64 is: 241,670.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,171 : 490,871.70 = 161,075.64 : x
  2. Step 2: Convert to fraction form
    327,171/490,871.70 = 161,075.64/x
  3. Step 3: Cross multiply
    327,171x = 490,871.70 × 161,075.64
  4. Step 4: Simplify right side
    327,171x = 79,067,473,235.39
  5. Step 5: Solve for x
    x = 79,067,473,235.39/327,171
  6. Step 6: Final answer
    x = 241,670.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.