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Finding the Fourth Proportional to 281,012.43, 421,349.82 and 129,019.30

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Solution

The fourth proportional to 281,012.43, 421,349.82 and 129,019.30 is: 193,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,012.43 : 421,349.82 = 129,019.30 : x
  2. Step 2: Convert to fraction form
    281,012.43/421,349.82 = 129,019.30/x
  3. Step 3: Cross multiply
    281,012.43x = 421,349.82 × 129,019.30
  4. Step 4: Simplify right side
    281,012.43x = 54,362,259,600.12
  5. Step 5: Solve for x
    x = 54,362,259,600.12/281,012.43
  6. Step 6: Final answer
    x = 193,451.44

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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.