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Finding the Fourth Proportional to 281,378.56, 421,701.72 and 214,573

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Solution

The fourth proportional to 281,378.56, 421,701.72 and 214,573 is: 321,580.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,378.56 : 421,701.72 = 214,573 : x
  2. Step 2: Convert to fraction form
    281,378.56/421,701.72 = 214,573/x
  3. Step 3: Cross multiply
    281,378.56x = 421,701.72 × 214,573
  4. Step 4: Simplify right side
    281,378.56x = 90,485,803,165.56
  5. Step 5: Solve for x
    x = 90,485,803,165.56/281,378.56
  6. Step 6: Final answer
    x = 321,580.31

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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.