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Finding the Fourth Proportional to 299,420.60, 412,151.64 and 261,112.56

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Solution

The fourth proportional to 299,420.60, 412,151.64 and 261,112.56 is: 359,420.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,420.60 : 412,151.64 = 261,112.56 : x
  2. Step 2: Convert to fraction form
    299,420.60/412,151.64 = 261,112.56/x
  3. Step 3: Cross multiply
    299,420.60x = 412,151.64 × 261,112.56
  4. Step 4: Simplify right side
    299,420.60x = 107,617,971,090.97
  5. Step 5: Solve for x
    x = 107,617,971,090.97/299,420.60
  6. Step 6: Final answer
    x = 359,420.73

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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.