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Finding the Fourth Proportional to 324,093.40, 447,069.18 and 189,931.48

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Solution

The fourth proportional to 324,093.40, 447,069.18 and 189,931.48 is: 262,000.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,093.40 : 447,069.18 = 189,931.48 : x
  2. Step 2: Convert to fraction form
    324,093.40/447,069.18 = 189,931.48/x
  3. Step 3: Cross multiply
    324,093.40x = 447,069.18 × 189,931.48
  4. Step 4: Simplify right side
    324,093.40x = 84,912,511,019.79
  5. Step 5: Solve for x
    x = 84,912,511,019.79/324,093.40
  6. Step 6: Final answer
    x = 262,000.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.