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Finding the Fourth Proportional to 289,315.97, 399,163.77 and 187,419.54

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Solution

The fourth proportional to 289,315.97, 399,163.77 and 187,419.54 is: 258,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,315.97 : 399,163.77 = 187,419.54 : x
  2. Step 2: Convert to fraction form
    289,315.97/399,163.77 = 187,419.54/x
  3. Step 3: Cross multiply
    289,315.97x = 399,163.77 × 187,419.54
  4. Step 4: Simplify right side
    289,315.97x = 74,811,089,936.75
  5. Step 5: Solve for x
    x = 74,811,089,936.75/289,315.97
  6. Step 6: Final answer
    x = 258,579.19

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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.