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Finding the Fourth Proportional to 450,992.30, 622,379.40 and 257,396.14

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Solution

The fourth proportional to 450,992.30, 622,379.40 and 257,396.14 is: 355,212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,992.30 : 622,379.40 = 257,396.14 : x
  2. Step 2: Convert to fraction form
    450,992.30/622,379.40 = 257,396.14/x
  3. Step 3: Cross multiply
    450,992.30x = 622,379.40 × 257,396.14
  4. Step 4: Simplify right side
    450,992.30x = 160,198,053,619.57
  5. Step 5: Solve for x
    x = 160,198,053,619.57/450,992.30
  6. Step 6: Final answer
    x = 355,212.40

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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.