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Finding the Fourth Proportional to 281,458.80, 422,210.34 and 81,782.64

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Solution

The fourth proportional to 281,458.80, 422,210.34 and 81,782.64 is: 122,680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,458.80 : 422,210.34 = 81,782.64 : x
  2. Step 2: Convert to fraction form
    281,458.80/422,210.34 = 81,782.64/x
  3. Step 3: Cross multiply
    281,458.80x = 422,210.34 × 81,782.64
  4. Step 4: Simplify right side
    281,458.80x = 34,529,476,240.50
  5. Step 5: Solve for x
    x = 34,529,476,240.50/281,458.80
  6. Step 6: Final answer
    x = 122,680.39

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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.