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Finding the Fourth Proportional to 450,992.90, 622,380.25 and 257,396.75

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Solution

The fourth proportional to 450,992.90, 622,380.25 and 257,396.75 is: 355,213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,992.90 : 622,380.25 = 257,396.75 : x
  2. Step 2: Convert to fraction form
    450,992.90/622,380.25 = 257,396.75/x
  3. Step 3: Cross multiply
    450,992.90x = 622,380.25 × 257,396.75
  4. Step 4: Simplify right side
    450,992.90x = 160,198,653,614.19
  5. Step 5: Solve for x
    x = 160,198,653,614.19/450,992.90
  6. Step 6: Final answer
    x = 355,213.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.