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Finding the Fourth Proportional to 327,078.81, 490,808.56 and 137,525.45

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Solution

The fourth proportional to 327,078.81, 490,808.56 and 137,525.45 is: 206,368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,078.81 : 490,808.56 = 137,525.45 : x
  2. Step 2: Convert to fraction form
    327,078.81/490,808.56 = 137,525.45/x
  3. Step 3: Cross multiply
    327,078.81x = 490,808.56 × 137,525.45
  4. Step 4: Simplify right side
    327,078.81x = 67,498,665,623.81
  5. Step 5: Solve for x
    x = 67,498,665,623.81/327,078.81
  6. Step 6: Final answer
    x = 206,368.20

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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.