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Finding the Fourth Proportional to 282,045.51, 389,249.42 and 161,163.37

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Solution

The fourth proportional to 282,045.51, 389,249.42 and 161,163.37 is: 222,420.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,045.51 : 389,249.42 = 161,163.37 : x
  2. Step 2: Convert to fraction form
    282,045.51/389,249.42 = 161,163.37/x
  3. Step 3: Cross multiply
    282,045.51x = 389,249.42 × 161,163.37
  4. Step 4: Simplify right side
    282,045.51x = 62,732,747,978.49
  5. Step 5: Solve for x
    x = 62,732,747,978.49/282,045.51
  6. Step 6: Final answer
    x = 222,420.66

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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.