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Finding the Fourth Proportional to 271,974.20, 407,615.70 and 131,430.20

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Solution

The fourth proportional to 271,974.20, 407,615.70 and 131,430.20 is: 196,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,974.20 : 407,615.70 = 131,430.20 : x
  2. Step 2: Convert to fraction form
    271,974.20/407,615.70 = 131,430.20/x
  3. Step 3: Cross multiply
    271,974.20x = 407,615.70 × 131,430.20
  4. Step 4: Simplify right side
    271,974.20x = 53,573,012,974.14
  5. Step 5: Solve for x
    x = 53,573,012,974.14/271,974.20
  6. Step 6: Final answer
    x = 196,978.29

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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.