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Finding the Fourth Proportional to 279,596.95, 418,980.69 and 205,362.07

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Solution

The fourth proportional to 279,596.95, 418,980.69 and 205,362.07 is: 307,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,596.95 : 418,980.69 = 205,362.07 : x
  2. Step 2: Convert to fraction form
    279,596.95/418,980.69 = 205,362.07/x
  3. Step 3: Cross multiply
    279,596.95x = 418,980.69 × 205,362.07
  4. Step 4: Simplify right side
    279,596.95x = 86,042,741,788.43
  5. Step 5: Solve for x
    x = 86,042,741,788.43/279,596.95
  6. Step 6: Final answer
    x = 307,738.48

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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.