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Finding the Fourth Proportional to 315,375.64, 435,274.82 and 188,059.44

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Solution

The fourth proportional to 315,375.64, 435,274.82 and 188,059.44 is: 259,555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,375.64 : 435,274.82 = 188,059.44 : x
  2. Step 2: Convert to fraction form
    315,375.64/435,274.82 = 188,059.44/x
  3. Step 3: Cross multiply
    315,375.64x = 435,274.82 × 188,059.44
  4. Step 4: Simplify right side
    315,375.64x = 81,857,538,895.30
  5. Step 5: Solve for x
    x = 81,857,538,895.30/315,375.64
  6. Step 6: Final answer
    x = 259,555.68

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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.