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Finding the Fourth Proportional to 317,735.64, 438,391.44 and 188,640

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Solution

The fourth proportional to 317,735.64, 438,391.44 and 188,640 is: 260,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,735.64 : 438,391.44 = 188,640 : x
  2. Step 2: Convert to fraction form
    317,735.64/438,391.44 = 188,640/x
  3. Step 3: Cross multiply
    317,735.64x = 438,391.44 × 188,640
  4. Step 4: Simplify right side
    317,735.64x = 82,698,161,241.60
  5. Step 5: Solve for x
    x = 82,698,161,241.60/317,735.64
  6. Step 6: Final answer
    x = 260,273.48

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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.