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Finding the Fourth Proportional to 207,984.80, 311,458.80 and 166,512.80

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Solution

The fourth proportional to 207,984.80, 311,458.80 and 166,512.80 is: 249,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,984.80 : 311,458.80 = 166,512.80 : x
  2. Step 2: Convert to fraction form
    207,984.80/311,458.80 = 166,512.80/x
  3. Step 3: Cross multiply
    207,984.80x = 311,458.80 × 166,512.80
  4. Step 4: Simplify right side
    207,984.80x = 51,861,876,872.64
  5. Step 5: Solve for x
    x = 51,861,876,872.64/207,984.80
  6. Step 6: Final answer
    x = 249,354.17

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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.