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Finding the Fourth Proportional to 281,241.64, 422,154.06 and 188,396.20

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Solution

The fourth proportional to 281,241.64, 422,154.06 and 188,396.20 is: 282,789.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,241.64 : 422,154.06 = 188,396.20 : x
  2. Step 2: Convert to fraction form
    281,241.64/422,154.06 = 188,396.20/x
  3. Step 3: Cross multiply
    281,241.64x = 422,154.06 × 188,396.20
  4. Step 4: Simplify right side
    281,241.64x = 79,532,220,718.57
  5. Step 5: Solve for x
    x = 79,532,220,718.57/281,241.64
  6. Step 6: Final answer
    x = 282,789.63

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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.