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Finding the Fourth Proportional to 494,463.77, 682,447.40 and 290,514.63

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Solution

The fourth proportional to 494,463.77, 682,447.40 and 290,514.63 is: 400,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,463.77 : 682,447.40 = 290,514.63 : x
  2. Step 2: Convert to fraction form
    494,463.77/682,447.40 = 290,514.63/x
  3. Step 3: Cross multiply
    494,463.77x = 682,447.40 × 290,514.63
  4. Step 4: Simplify right side
    494,463.77x = 198,260,951,160.42
  5. Step 5: Solve for x
    x = 198,260,951,160.42/494,463.77
  6. Step 6: Final answer
    x = 400,961.54

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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.