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Finding the Fourth Proportional to 422,460, 582,994.80 and 231,480.23

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Solution

The fourth proportional to 422,460, 582,994.80 and 231,480.23 is: 319,442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,460 : 582,994.80 = 231,480.23 : x
  2. Step 2: Convert to fraction form
    422,460/582,994.80 = 231,480.23/x
  3. Step 3: Cross multiply
    422,460x = 582,994.80 × 231,480.23
  4. Step 4: Simplify right side
    422,460x = 134,951,767,477.83
  5. Step 5: Solve for x
    x = 134,951,767,477.83/422,460
  6. Step 6: Final answer
    x = 319,442.71

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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.