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Finding the Fourth Proportional to 254,899.82, 382,324.90 and 77,408.37

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Solution

The fourth proportional to 254,899.82, 382,324.90 and 77,408.37 is: 116,105.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,899.82 : 382,324.90 = 77,408.37 : x
  2. Step 2: Convert to fraction form
    254,899.82/382,324.90 = 77,408.37/x
  3. Step 3: Cross multiply
    254,899.82x = 382,324.90 × 77,408.37
  4. Step 4: Simplify right side
    254,899.82x = 29,595,147,271.03
  5. Step 5: Solve for x
    x = 29,595,147,271.03/254,899.82
  6. Step 6: Final answer
    x = 116,105.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.