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Finding the Fourth Proportional to 281,639.20, 421,681.20 and 219,431.20

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Solution

The fourth proportional to 281,639.20, 421,681.20 and 219,431.20 is: 328,540.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,639.20 : 421,681.20 = 219,431.20 : x
  2. Step 2: Convert to fraction form
    281,639.20/421,681.20 = 219,431.20/x
  3. Step 3: Cross multiply
    281,639.20x = 421,681.20 × 219,431.20
  4. Step 4: Simplify right side
    281,639.20x = 92,530,011,733.44
  5. Step 5: Solve for x
    x = 92,530,011,733.44/281,639.20
  6. Step 6: Final answer
    x = 328,540.96

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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.