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Finding the Fourth Proportional to 282,589.92, 389,969.28 and 155,265.36

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Solution

The fourth proportional to 282,589.92, 389,969.28 and 155,265.36 is: 214,263.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,589.92 : 389,969.28 = 155,265.36 : x
  2. Step 2: Convert to fraction form
    282,589.92/389,969.28 = 155,265.36/x
  3. Step 3: Cross multiply
    282,589.92x = 389,969.28 × 155,265.36
  4. Step 4: Simplify right side
    282,589.92x = 60,548,720,648.14
  5. Step 5: Solve for x
    x = 60,548,720,648.14/282,589.92
  6. Step 6: Final answer
    x = 214,263.55

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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.