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Finding the Fourth Proportional to 278,833.98, 418,015.82 and 120,943.56

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Solution

The fourth proportional to 278,833.98, 418,015.82 and 120,943.56 is: 181,313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,833.98 : 418,015.82 = 120,943.56 : x
  2. Step 2: Convert to fraction form
    278,833.98/418,015.82 = 120,943.56/x
  3. Step 3: Cross multiply
    278,833.98x = 418,015.82 × 120,943.56
  4. Step 4: Simplify right side
    278,833.98x = 50,556,321,407.12
  5. Step 5: Solve for x
    x = 50,556,321,407.12/278,833.98
  6. Step 6: Final answer
    x = 181,313.34

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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.