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Finding the Fourth Proportional to 271,714.80, 407,879.40 and 209,660.40

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Solution

The fourth proportional to 271,714.80, 407,879.40 and 209,660.40 is: 314,727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,714.80 : 407,879.40 = 209,660.40 : x
  2. Step 2: Convert to fraction form
    271,714.80/407,879.40 = 209,660.40/x
  3. Step 3: Cross multiply
    271,714.80x = 407,879.40 × 209,660.40
  4. Step 4: Simplify right side
    271,714.80x = 85,516,158,155.76
  5. Step 5: Solve for x
    x = 85,516,158,155.76/271,714.80
  6. Step 6: Final answer
    x = 314,727.64

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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.