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Finding the Fourth Proportional to 282,025.80, 423,414.14 and 163,782

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Solution

The fourth proportional to 282,025.80, 423,414.14 and 163,782 is: 245,891.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,025.80 : 423,414.14 = 163,782 : x
  2. Step 2: Convert to fraction form
    282,025.80/423,414.14 = 163,782/x
  3. Step 3: Cross multiply
    282,025.80x = 423,414.14 × 163,782
  4. Step 4: Simplify right side
    282,025.80x = 69,347,613,858.57
  5. Step 5: Solve for x
    x = 69,347,613,858.57/282,025.80
  6. Step 6: Final answer
    x = 245,891.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.