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Finding the Fourth Proportional to 280,951.44, 421,427.28 and 131,142

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Solution

The fourth proportional to 280,951.44, 421,427.28 and 131,142 is: 196,713.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,951.44 : 421,427.28 = 131,142 : x
  2. Step 2: Convert to fraction form
    280,951.44/421,427.28 = 131,142/x
  3. Step 3: Cross multiply
    280,951.44x = 421,427.28 × 131,142
  4. Step 4: Simplify right side
    280,951.44x = 55,266,816,353.76
  5. Step 5: Solve for x
    x = 55,266,816,353.76/280,951.44
  6. Step 6: Final answer
    x = 196,713.06

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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.