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Finding the Fourth Proportional to 391,809, 540,696.42 and 212,961

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Solution

The fourth proportional to 391,809, 540,696.42 and 212,961 is: 293,886.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,809 : 540,696.42 = 212,961 : x
  2. Step 2: Convert to fraction form
    391,809/540,696.42 = 212,961/x
  3. Step 3: Cross multiply
    391,809x = 540,696.42 × 212,961
  4. Step 4: Simplify right side
    391,809x = 115,147,250,299.62
  5. Step 5: Solve for x
    x = 115,147,250,299.62/391,809
  6. Step 6: Final answer
    x = 293,886.18

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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.