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Finding the Fourth Proportional to 282,269.52, 389,541.96 and 154,954.80

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Solution

The fourth proportional to 282,269.52, 389,541.96 and 154,954.80 is: 213,843.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,269.52 : 389,541.96 = 154,954.80 : x
  2. Step 2: Convert to fraction form
    282,269.52/389,541.96 = 154,954.80/x
  3. Step 3: Cross multiply
    282,269.52x = 389,541.96 × 154,954.80
  4. Step 4: Simplify right side
    282,269.52x = 60,361,396,503.41
  5. Step 5: Solve for x
    x = 60,361,396,503.41/282,269.52
  6. Step 6: Final answer
    x = 213,843.13

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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.