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Finding the Fourth Proportional to 323,376.98, 443,028.58 and 311,256.10

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Solution

The fourth proportional to 323,376.98, 443,028.58 and 311,256.10 is: 426,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,376.98 : 443,028.58 = 311,256.10 : x
  2. Step 2: Convert to fraction form
    323,376.98/443,028.58 = 311,256.10/x
  3. Step 3: Cross multiply
    323,376.98x = 443,028.58 × 311,256.10
  4. Step 4: Simplify right side
    323,376.98x = 137,895,347,999.34
  5. Step 5: Solve for x
    x = 137,895,347,999.34/323,376.98
  6. Step 6: Final answer
    x = 426,422.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.