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Finding the Fourth Proportional to 421,915.88, 582,241.76 and 228,323.44

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Solution

The fourth proportional to 421,915.88, 582,241.76 and 228,323.44 is: 315,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,915.88 : 582,241.76 = 228,323.44 : x
  2. Step 2: Convert to fraction form
    421,915.88/582,241.76 = 228,323.44/x
  3. Step 3: Cross multiply
    421,915.88x = 582,241.76 × 228,323.44
  4. Step 4: Simplify right side
    421,915.88x = 132,939,441,554.85
  5. Step 5: Solve for x
    x = 132,939,441,554.85/421,915.88
  6. Step 6: Final answer
    x = 315,085.18

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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.