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Finding the Fourth Proportional to 282,268.88, 389,523.84 and 154,943.36

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Solution

The fourth proportional to 282,268.88, 389,523.84 and 154,943.36 is: 213,817.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,268.88 : 389,523.84 = 154,943.36 : x
  2. Step 2: Convert to fraction form
    282,268.88/389,523.84 = 154,943.36/x
  3. Step 3: Cross multiply
    282,268.88x = 389,523.84 × 154,943.36
  4. Step 4: Simplify right side
    282,268.88x = 60,354,132,569.70
  5. Step 5: Solve for x
    x = 60,354,132,569.70/282,268.88
  6. Step 6: Final answer
    x = 213,817.88

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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.