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Finding the Fourth Proportional to 271,878.10, 407,416.20 and 197,155.60

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Solution

The fourth proportional to 271,878.10, 407,416.20 and 197,155.60 is: 295,442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,878.10 : 407,416.20 = 197,155.60 : x
  2. Step 2: Convert to fraction form
    271,878.10/407,416.20 = 197,155.60/x
  3. Step 3: Cross multiply
    271,878.10x = 407,416.20 × 197,155.60
  4. Step 4: Simplify right side
    271,878.10x = 80,324,385,360.72
  5. Step 5: Solve for x
    x = 80,324,385,360.72/271,878.10
  6. Step 6: Final answer
    x = 295,442.65

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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.