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Finding the Fourth Proportional to 431,181.63, 647,111.43 and 298,992.06

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Solution

The fourth proportional to 431,181.63, 647,111.43 and 298,992.06 is: 448,723.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,181.63 : 647,111.43 = 298,992.06 : x
  2. Step 2: Convert to fraction form
    431,181.63/647,111.43 = 298,992.06/x
  3. Step 3: Cross multiply
    431,181.63x = 647,111.43 × 298,992.06
  4. Step 4: Simplify right side
    431,181.63x = 193,481,179,505.25
  5. Step 5: Solve for x
    x = 193,481,179,505.25/431,181.63
  6. Step 6: Final answer
    x = 448,723.15

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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.