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Finding the Fourth Proportional to 412,116.98, 618,353.26 and 222,539.58

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Solution

The fourth proportional to 412,116.98, 618,353.26 and 222,539.58 is: 333,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,116.98 : 618,353.26 = 222,539.58 : x
  2. Step 2: Convert to fraction form
    412,116.98/618,353.26 = 222,539.58/x
  3. Step 3: Cross multiply
    412,116.98x = 618,353.26 × 222,539.58
  4. Step 4: Simplify right side
    412,116.98x = 137,608,074,215.68
  5. Step 5: Solve for x
    x = 137,608,074,215.68/412,116.98
  6. Step 6: Final answer
    x = 333,905.38

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1.5x scale

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.