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Finding the Fourth Proportional to 279,486.06, 419,271.09 and 129,741.78

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Solution

The fourth proportional to 279,486.06, 419,271.09 and 129,741.78 is: 194,632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,486.06 : 419,271.09 = 129,741.78 : x
  2. Step 2: Convert to fraction form
    279,486.06/419,271.09 = 129,741.78/x
  3. Step 3: Cross multiply
    279,486.06x = 419,271.09 × 129,741.78
  4. Step 4: Simplify right side
    279,486.06x = 54,396,977,519.14
  5. Step 5: Solve for x
    x = 54,396,977,519.14/279,486.06
  6. Step 6: Final answer
    x = 194,632.17

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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.