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Finding the Fourth Proportional to 209,361.80, 311,825.77 and 208,342.28

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Solution

The fourth proportional to 209,361.80, 311,825.77 and 208,342.28 is: 310,307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,361.80 : 311,825.77 = 208,342.28 : x
  2. Step 2: Convert to fraction form
    209,361.80/311,825.77 = 208,342.28/x
  3. Step 3: Cross multiply
    209,361.80x = 311,825.77 × 208,342.28
  4. Step 4: Simplify right side
    209,361.80x = 64,966,491,884.56
  5. Step 5: Solve for x
    x = 64,966,491,884.56/209,361.80
  6. Step 6: Final answer
    x = 310,307.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.