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Finding the Fourth Proportional to 271,420.37, 407,144.91 and 71,735.32

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Solution

The fourth proportional to 271,420.37, 407,144.91 and 71,735.32 is: 107,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,420.37 : 407,144.91 = 71,735.32 : x
  2. Step 2: Convert to fraction form
    271,420.37/407,144.91 = 71,735.32/x
  3. Step 3: Cross multiply
    271,420.37x = 407,144.91 × 71,735.32
  4. Step 4: Simplify right side
    271,420.37x = 29,206,671,183.16
  5. Step 5: Solve for x
    x = 29,206,671,183.16/271,420.37
  6. Step 6: Final answer
    x = 107,606.78

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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.