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Finding the Fourth Proportional to 281,804.40, 422,722.80 and 82,155.60

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Solution

The fourth proportional to 281,804.40, 422,722.80 and 82,155.60 is: 123,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,804.40 : 422,722.80 = 82,155.60 : x
  2. Step 2: Convert to fraction form
    281,804.40/422,722.80 = 82,155.60/x
  3. Step 3: Cross multiply
    281,804.40x = 422,722.80 × 82,155.60
  4. Step 4: Simplify right side
    281,804.40x = 34,729,045,267.68
  5. Step 5: Solve for x
    x = 34,729,045,267.68/281,804.40
  6. Step 6: Final answer
    x = 123,238.12

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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.