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Finding the Fourth Proportional to 208,285.44, 287,218.84 and 178,170.44

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Solution

The fourth proportional to 208,285.44, 287,218.84 and 178,170.44 is: 245,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,285.44 : 287,218.84 = 178,170.44 : x
  2. Step 2: Convert to fraction form
    208,285.44/287,218.84 = 178,170.44/x
  3. Step 3: Cross multiply
    208,285.44x = 287,218.84 × 178,170.44
  4. Step 4: Simplify right side
    208,285.44x = 51,173,907,099.09
  5. Step 5: Solve for x
    x = 51,173,907,099.09/208,285.44
  6. Step 6: Final answer
    x = 245,691.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.