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Finding the Fourth Proportional to 421,817.22, 582,107.31 and 238,043.61

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Solution

The fourth proportional to 421,817.22, 582,107.31 and 238,043.61 is: 328,499.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,817.22 : 582,107.31 = 238,043.61 : x
  2. Step 2: Convert to fraction form
    421,817.22/582,107.31 = 238,043.61/x
  3. Step 3: Cross multiply
    421,817.22x = 582,107.31 × 238,043.61
  4. Step 4: Simplify right side
    421,817.22x = 138,566,925,479.79
  5. Step 5: Solve for x
    x = 138,566,925,479.79/421,817.22
  6. Step 6: Final answer
    x = 328,499.93

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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.