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Finding the Fourth Proportional to 421,842.46, 582,414.29 and 376,442.37

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Solution

The fourth proportional to 421,842.46, 582,414.29 and 376,442.37 is: 519,732.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,842.46 : 582,414.29 = 376,442.37 : x
  2. Step 2: Convert to fraction form
    421,842.46/582,414.29 = 376,442.37/x
  3. Step 3: Cross multiply
    421,842.46x = 582,414.29 × 376,442.37
  4. Step 4: Simplify right side
    421,842.46x = 219,245,415,649.47
  5. Step 5: Solve for x
    x = 219,245,415,649.47/421,842.46
  6. Step 6: Final answer
    x = 519,732.93

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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.