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Finding the Fourth Proportional to 421,940.70, 582,294.18 and 240,682.14

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Solution

The fourth proportional to 421,940.70, 582,294.18 and 240,682.14 is: 332,150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,940.70 : 582,294.18 = 240,682.14 : x
  2. Step 2: Convert to fraction form
    421,940.70/582,294.18 = 240,682.14/x
  3. Step 3: Cross multiply
    421,940.70x = 582,294.18 × 240,682.14
  4. Step 4: Simplify right side
    421,940.70x = 140,147,809,351.95
  5. Step 5: Solve for x
    x = 140,147,809,351.95/421,940.70
  6. Step 6: Final answer
    x = 332,150.49

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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.