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Finding the Fourth Proportional to 281,380.56, 421,704.72 and 214,575

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Solution

The fourth proportional to 281,380.56, 421,704.72 and 214,575 is: 321,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,380.56 : 421,704.72 = 214,575 : x
  2. Step 2: Convert to fraction form
    281,380.56/421,704.72 = 214,575/x
  3. Step 3: Cross multiply
    281,380.56x = 421,704.72 × 214,575
  4. Step 4: Simplify right side
    281,380.56x = 90,487,290,294
  5. Step 5: Solve for x
    x = 90,487,290,294/281,380.56
  6. Step 6: Final answer
    x = 321,583.30

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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.