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Finding the Fourth Proportional to 317,243.64, 437,630.40 and 188,106.96

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Solution

The fourth proportional to 317,243.64, 437,630.40 and 188,106.96 is: 259,489.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,243.64 : 437,630.40 = 188,106.96 : x
  2. Step 2: Convert to fraction form
    317,243.64/437,630.40 = 188,106.96/x
  3. Step 3: Cross multiply
    317,243.64x = 437,630.40 × 188,106.96
  4. Step 4: Simplify right side
    317,243.64x = 82,321,324,147.58
  5. Step 5: Solve for x
    x = 82,321,324,147.58/317,243.64
  6. Step 6: Final answer
    x = 259,489.28

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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.