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Finding the Fourth Proportional to 391,647, 540,476.16 and 212,799

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Solution

The fourth proportional to 391,647, 540,476.16 and 212,799 is: 293,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,647 : 540,476.16 = 212,799 : x
  2. Step 2: Convert to fraction form
    391,647/540,476.16 = 212,799/x
  3. Step 3: Cross multiply
    391,647x = 540,476.16 × 212,799
  4. Step 4: Simplify right side
    391,647x = 115,012,786,371.84
  5. Step 5: Solve for x
    x = 115,012,786,371.84/391,647
  6. Step 6: Final answer
    x = 293,664.41

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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.