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Finding the Fourth Proportional to 208,169.60, 311,793.60 and 171,305.60

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Solution

The fourth proportional to 208,169.60, 311,793.60 and 171,305.60 is: 256,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,169.60 : 311,793.60 = 171,305.60 : x
  2. Step 2: Convert to fraction form
    208,169.60/311,793.60 = 171,305.60/x
  3. Step 3: Cross multiply
    208,169.60x = 311,793.60 × 171,305.60
  4. Step 4: Simplify right side
    208,169.60x = 53,411,989,724.16
  5. Step 5: Solve for x
    x = 53,411,989,724.16/208,169.60
  6. Step 6: Final answer
    x = 256,579.20

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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.