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Finding the Fourth Proportional to 327,078.31, 490,807.81 and 137,524.95

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Solution

The fourth proportional to 327,078.31, 490,807.81 and 137,524.95 is: 206,367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,078.31 : 490,807.81 = 137,524.95 : x
  2. Step 2: Convert to fraction form
    327,078.31/490,807.81 = 137,524.95/x
  3. Step 3: Cross multiply
    327,078.31x = 490,807.81 × 137,524.95
  4. Step 4: Simplify right side
    327,078.31x = 67,498,317,075.82
  5. Step 5: Solve for x
    x = 67,498,317,075.82/327,078.31
  6. Step 6: Final answer
    x = 206,367.45

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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.