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Finding the Fourth Proportional to 282,364.88, 389,669.82 and 155,041

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Solution

The fourth proportional to 282,364.88, 389,669.82 and 155,041 is: 213,960.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,364.88 : 389,669.82 = 155,041 : x
  2. Step 2: Convert to fraction form
    282,364.88/389,669.82 = 155,041/x
  3. Step 3: Cross multiply
    282,364.88x = 389,669.82 × 155,041
  4. Step 4: Simplify right side
    282,364.88x = 60,414,798,562.62
  5. Step 5: Solve for x
    x = 60,414,798,562.62/282,364.88
  6. Step 6: Final answer
    x = 213,960.03

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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.