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Finding the Fourth Proportional to 258,754.38, 388,131.66 and 116,433.42

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Solution

The fourth proportional to 258,754.38, 388,131.66 and 116,433.42 is: 174,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,754.38 : 388,131.66 = 116,433.42 : x
  2. Step 2: Convert to fraction form
    258,754.38/388,131.66 = 116,433.42/x
  3. Step 3: Cross multiply
    258,754.38x = 388,131.66 × 116,433.42
  4. Step 4: Simplify right side
    258,754.38x = 45,191,496,584.08
  5. Step 5: Solve for x
    x = 45,191,496,584.08/258,754.38
  6. Step 6: Final answer
    x = 174,650.17

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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.