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Finding the Fourth Proportional to 421,781.16, 582,057.98 and 230,794.56

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Solution

The fourth proportional to 421,781.16, 582,057.98 and 230,794.56 is: 318,496.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,781.16 : 582,057.98 = 230,794.56 : x
  2. Step 2: Convert to fraction form
    421,781.16/582,057.98 = 230,794.56/x
  3. Step 3: Cross multiply
    421,781.16x = 582,057.98 × 230,794.56
  4. Step 4: Simplify right side
    421,781.16x = 134,335,815,388.59
  5. Step 5: Solve for x
    x = 134,335,815,388.59/421,781.16
  6. Step 6: Final answer
    x = 318,496.48

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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.