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Finding the Fourth Proportional to 297,314, 445,971 and 100,322

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Solution

The fourth proportional to 297,314, 445,971 and 100,322 is: 150,483

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,314 : 445,971 = 100,322 : x
  2. Step 2: Convert to fraction form
    297,314/445,971 = 100,322/x
  3. Step 3: Cross multiply
    297,314x = 445,971 × 100,322
  4. Step 4: Simplify right side
    297,314x = 44,740,702,662
  5. Step 5: Solve for x
    x = 44,740,702,662/297,314
  6. Step 6: Final answer
    x = 150,483

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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.