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Finding the Fourth Proportional to 208,145.60, 311,757.60 and 171,281.60

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Solution

The fourth proportional to 208,145.60, 311,757.60 and 171,281.60 is: 256,543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,145.60 : 311,757.60 = 171,281.60 : x
  2. Step 2: Convert to fraction form
    208,145.60/311,757.60 = 171,281.60/x
  3. Step 3: Cross multiply
    208,145.60x = 311,757.60 × 171,281.60
  4. Step 4: Simplify right side
    208,145.60x = 53,398,340,540.16
  5. Step 5: Solve for x
    x = 53,398,340,540.16/208,145.60
  6. Step 6: Final answer
    x = 256,543.21

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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.