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Finding the Fourth Proportional to 282,509.54, 389,863.43 and 155,193.33

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Solution

The fourth proportional to 282,509.54, 389,863.43 and 155,193.33 is: 214,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,509.54 : 389,863.43 = 155,193.33 : x
  2. Step 2: Convert to fraction form
    282,509.54/389,863.43 = 155,193.33/x
  3. Step 3: Cross multiply
    282,509.54x = 389,863.43 × 155,193.33
  4. Step 4: Simplify right side
    282,509.54x = 60,504,203,170.96
  5. Step 5: Solve for x
    x = 60,504,203,170.96/282,509.54
  6. Step 6: Final answer
    x = 214,166.94

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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.