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Finding the Fourth Proportional to 324,247.40, 486,198.30 and 137,047.40

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Solution

The fourth proportional to 324,247.40, 486,198.30 and 137,047.40 is: 205,498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,247.40 : 486,198.30 = 137,047.40 : x
  2. Step 2: Convert to fraction form
    324,247.40/486,198.30 = 137,047.40/x
  3. Step 3: Cross multiply
    324,247.40x = 486,198.30 × 137,047.40
  4. Step 4: Simplify right side
    324,247.40x = 66,632,212,899.42
  5. Step 5: Solve for x
    x = 66,632,212,899.42/324,247.40
  6. Step 6: Final answer
    x = 205,498.06

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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.