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Finding the Fourth Proportional to 327,684.48, 490,739.40 and 187,016.64

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Solution

The fourth proportional to 327,684.48, 490,739.40 and 187,016.64 is: 280,075.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,684.48 : 490,739.40 = 187,016.64 : x
  2. Step 2: Convert to fraction form
    327,684.48/490,739.40 = 187,016.64/x
  3. Step 3: Cross multiply
    327,684.48x = 490,739.40 × 187,016.64
  4. Step 4: Simplify right side
    327,684.48x = 91,776,433,703.62
  5. Step 5: Solve for x
    x = 91,776,433,703.62/327,684.48
  6. Step 6: Final answer
    x = 280,075.62

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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.