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Finding the Fourth Proportional to 694,137.51, 957,980.43 and 422,224.16

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Solution

The fourth proportional to 694,137.51, 957,980.43 and 422,224.16 is: 582,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,137.51 : 957,980.43 = 422,224.16 : x
  2. Step 2: Convert to fraction form
    694,137.51/957,980.43 = 422,224.16/x
  3. Step 3: Cross multiply
    694,137.51x = 957,980.43 × 422,224.16
  4. Step 4: Simplify right side
    694,137.51x = 404,482,477,563.29
  5. Step 5: Solve for x
    x = 404,482,477,563.29/694,137.51
  6. Step 6: Final answer
    x = 582,712.32

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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.