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Finding the Fourth Proportional to 421,843.46, 582,415.67 and 376,443.37

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Solution

The fourth proportional to 421,843.46, 582,415.67 and 376,443.37 is: 519,734.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,843.46 : 582,415.67 = 376,443.37 : x
  2. Step 2: Convert to fraction form
    421,843.46/582,415.67 = 376,443.37/x
  3. Step 3: Cross multiply
    421,843.46x = 582,415.67 × 376,443.37
  4. Step 4: Simplify right side
    421,843.46x = 219,246,517,555.61
  5. Step 5: Solve for x
    x = 219,246,517,555.61/421,843.46
  6. Step 6: Final answer
    x = 519,734.31

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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.