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Finding the Fourth Proportional to 391,799.94, 540,105.75 and 305,662.02

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Solution

The fourth proportional to 391,799.94, 540,105.75 and 305,662.02 is: 421,362.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,799.94 : 540,105.75 = 305,662.02 : x
  2. Step 2: Convert to fraction form
    391,799.94/540,105.75 = 305,662.02/x
  3. Step 3: Cross multiply
    391,799.94x = 540,105.75 × 305,662.02
  4. Step 4: Simplify right side
    391,799.94x = 165,089,814,558.62
  5. Step 5: Solve for x
    x = 165,089,814,558.62/391,799.94
  6. Step 6: Final answer
    x = 421,362.53

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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.