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Finding the Fourth Proportional to 281,314, 421,971 and 84,322

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Solution

The fourth proportional to 281,314, 421,971 and 84,322 is: 126,483

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,314 : 421,971 = 84,322 : x
  2. Step 2: Convert to fraction form
    281,314/421,971 = 84,322/x
  3. Step 3: Cross multiply
    281,314x = 421,971 × 84,322
  4. Step 4: Simplify right side
    281,314x = 35,581,438,662
  5. Step 5: Solve for x
    x = 35,581,438,662/281,314
  6. Step 6: Final answer
    x = 126,483

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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.