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Finding the Fourth Proportional to 280,952.44, 421,428.78 and 131,143

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Solution

The fourth proportional to 280,952.44, 421,428.78 and 131,143 is: 196,714.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,952.44 : 421,428.78 = 131,143 : x
  2. Step 2: Convert to fraction form
    280,952.44/421,428.78 = 131,143/x
  3. Step 3: Cross multiply
    280,952.44x = 421,428.78 × 131,143
  4. Step 4: Simplify right side
    280,952.44x = 55,267,434,495.54
  5. Step 5: Solve for x
    x = 55,267,434,495.54/280,952.44
  6. Step 6: Final answer
    x = 196,714.56

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1.5x scale

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.