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Finding the Fourth Proportional to 380,996.83, 525,799.32 and 211,230.95

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Solution

The fourth proportional to 380,996.83, 525,799.32 and 211,230.95 is: 291,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,996.83 : 525,799.32 = 211,230.95 : x
  2. Step 2: Convert to fraction form
    380,996.83/525,799.32 = 211,230.95/x
  3. Step 3: Cross multiply
    380,996.83x = 525,799.32 × 211,230.95
  4. Step 4: Simplify right side
    380,996.83x = 111,065,089,872.95
  5. Step 5: Solve for x
    x = 111,065,089,872.95/380,996.83
  6. Step 6: Final answer
    x = 291,511.85

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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.