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Finding the Fourth Proportional to 383,909.70, 529,791.78 and 211,829.25

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Solution

The fourth proportional to 383,909.70, 529,791.78 and 211,829.25 is: 292,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,909.70 : 529,791.78 = 211,829.25 : x
  2. Step 2: Convert to fraction form
    383,909.70/529,791.78 = 211,829.25/x
  3. Step 3: Cross multiply
    383,909.70x = 529,791.78 × 211,829.25
  4. Step 4: Simplify right side
    383,909.70x = 112,225,395,413.57
  5. Step 5: Solve for x
    x = 112,225,395,413.57/383,909.70
  6. Step 6: Final answer
    x = 292,322.38

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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.