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Finding the Fourth Proportional to 208,857.44, 312,891.60 and 161,880.32

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Solution

The fourth proportional to 208,857.44, 312,891.60 and 161,880.32 is: 242,514.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,857.44 : 312,891.60 = 161,880.32 : x
  2. Step 2: Convert to fraction form
    208,857.44/312,891.60 = 161,880.32/x
  3. Step 3: Cross multiply
    208,857.44x = 312,891.60 × 161,880.32
  4. Step 4: Simplify right side
    208,857.44x = 50,650,992,333.31
  5. Step 5: Solve for x
    x = 50,650,992,333.31/208,857.44
  6. Step 6: Final answer
    x = 242,514.67

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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.