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Finding the Fourth Proportional to 379,743, 569,241.90 and 211,344

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Solution

The fourth proportional to 379,743, 569,241.90 and 211,344 is: 316,808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,743 : 569,241.90 = 211,344 : x
  2. Step 2: Convert to fraction form
    379,743/569,241.90 = 211,344/x
  3. Step 3: Cross multiply
    379,743x = 569,241.90 × 211,344
  4. Step 4: Simplify right side
    379,743x = 120,305,860,113.60
  5. Step 5: Solve for x
    x = 120,305,860,113.60/379,743
  6. Step 6: Final answer
    x = 316,808.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.