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Finding the Fourth Proportional to 414,205.44, 620,374.72 and 290,100.48

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Solution

The fourth proportional to 414,205.44, 620,374.72 and 290,100.48 is: 434,496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,205.44 : 620,374.72 = 290,100.48 : x
  2. Step 2: Convert to fraction form
    414,205.44/620,374.72 = 290,100.48/x
  3. Step 3: Cross multiply
    414,205.44x = 620,374.72 × 290,100.48
  4. Step 4: Simplify right side
    414,205.44x = 179,971,004,051.87
  5. Step 5: Solve for x
    x = 179,971,004,051.87/414,205.44
  6. Step 6: Final answer
    x = 434,496.96

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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.