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Finding the Fourth Proportional to 654,035.56, 980,845.98 and 279,958.12

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Solution

The fourth proportional to 654,035.56, 980,845.98 and 279,958.12 is: 419,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,035.56 : 980,845.98 = 279,958.12 : x
  2. Step 2: Convert to fraction form
    654,035.56/980,845.98 = 279,958.12/x
  3. Step 3: Cross multiply
    654,035.56x = 980,845.98 × 279,958.12
  4. Step 4: Simplify right side
    654,035.56x = 274,595,796,570.36
  5. Step 5: Solve for x
    x = 274,595,796,570.36/654,035.56
  6. Step 6: Final answer
    x = 419,848.42

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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.