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Finding the Fourth Proportional to 392,187.65, 541,208.45 and 222,418.13

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Solution

The fourth proportional to 392,187.65, 541,208.45 and 222,418.13 is: 306,931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,187.65 : 541,208.45 = 222,418.13 : x
  2. Step 2: Convert to fraction form
    392,187.65/541,208.45 = 222,418.13/x
  3. Step 3: Cross multiply
    392,187.65x = 541,208.45 × 222,418.13
  4. Step 4: Simplify right side
    392,187.65x = 120,374,567,571.07
  5. Step 5: Solve for x
    x = 120,374,567,571.07/392,187.65
  6. Step 6: Final answer
    x = 306,931.05

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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.