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Finding the Fourth Proportional to 281,381.56, 421,706.22 and 214,576

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Solution

The fourth proportional to 281,381.56, 421,706.22 and 214,576 is: 321,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,381.56 : 421,706.22 = 214,576 : x
  2. Step 2: Convert to fraction form
    281,381.56/421,706.22 = 214,576/x
  3. Step 3: Cross multiply
    281,381.56x = 421,706.22 × 214,576
  4. Step 4: Simplify right side
    281,381.56x = 90,488,033,862.72
  5. Step 5: Solve for x
    x = 90,488,033,862.72/281,381.56
  6. Step 6: Final answer
    x = 321,584.80

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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.