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Finding the Fourth Proportional to 403,371.75, 605,057.67 and 122,889

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Solution

The fourth proportional to 403,371.75, 605,057.67 and 122,889 is: 184,333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,371.75 : 605,057.67 = 122,889 : x
  2. Step 2: Convert to fraction form
    403,371.75/605,057.67 = 122,889/x
  3. Step 3: Cross multiply
    403,371.75x = 605,057.67 × 122,889
  4. Step 4: Simplify right side
    403,371.75x = 74,354,932,008.63
  5. Step 5: Solve for x
    x = 74,354,932,008.63/403,371.75
  6. Step 6: Final answer
    x = 184,333.51

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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.