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Finding the Fourth Proportional to 383,201.69, 528,859.94 and 211,137.33

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Solution

The fourth proportional to 383,201.69, 528,859.94 and 211,137.33 is: 291,392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,201.69 : 528,859.94 = 211,137.33 : x
  2. Step 2: Convert to fraction form
    383,201.69/528,859.94 = 211,137.33/x
  3. Step 3: Cross multiply
    383,201.69x = 528,859.94 × 211,137.33
  4. Step 4: Simplify right side
    383,201.69x = 111,662,076,603.10
  5. Step 5: Solve for x
    x = 111,662,076,603.10/383,201.69
  6. Step 6: Final answer
    x = 291,392.45

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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.