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Finding the Fourth Proportional to 383,735.36, 529,571.24 and 213,969.52

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Solution

The fourth proportional to 383,735.36, 529,571.24 and 213,969.52 is: 295,287.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,735.36 : 529,571.24 = 213,969.52 : x
  2. Step 2: Convert to fraction form
    383,735.36/529,571.24 = 213,969.52/x
  3. Step 3: Cross multiply
    383,735.36x = 529,571.24 × 213,969.52
  4. Step 4: Simplify right side
    383,735.36x = 113,312,104,028.61
  5. Step 5: Solve for x
    x = 113,312,104,028.61/383,735.36
  6. Step 6: Final answer
    x = 295,287.11

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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.