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Finding the Fourth Proportional to 271,972.20, 407,612.70 and 131,428.20

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Solution

The fourth proportional to 271,972.20, 407,612.70 and 131,428.20 is: 196,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,972.20 : 407,612.70 = 131,428.20 : x
  2. Step 2: Convert to fraction form
    271,972.20/407,612.70 = 131,428.20/x
  3. Step 3: Cross multiply
    271,972.20x = 407,612.70 × 131,428.20
  4. Step 4: Simplify right side
    271,972.20x = 53,571,803,458.14
  5. Step 5: Solve for x
    x = 53,571,803,458.14/271,972.20
  6. Step 6: Final answer
    x = 196,975.29

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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.