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Finding the Fourth Proportional to 327,078.68, 490,808.38 and 137,525.32

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Solution

The fourth proportional to 327,078.68, 490,808.38 and 137,525.32 is: 206,368.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,078.68 : 490,808.38 = 137,525.32 : x
  2. Step 2: Convert to fraction form
    327,078.68/490,808.38 = 137,525.32/x
  3. Step 3: Cross multiply
    327,078.68x = 490,808.38 × 137,525.32
  4. Step 4: Simplify right side
    327,078.68x = 67,498,577,947.35
  5. Step 5: Solve for x
    x = 67,498,577,947.35/327,078.68
  6. Step 6: Final answer
    x = 206,368.01

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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.