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Finding the Fourth Proportional to 443,874.66, 612,820.26 and 288,974.31

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Solution

The fourth proportional to 443,874.66, 612,820.26 and 288,974.31 is: 398,962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,874.66 : 612,820.26 = 288,974.31 : x
  2. Step 2: Convert to fraction form
    443,874.66/612,820.26 = 288,974.31/x
  3. Step 3: Cross multiply
    443,874.66x = 612,820.26 × 288,974.31
  4. Step 4: Simplify right side
    443,874.66x = 177,089,311,787.52
  5. Step 5: Solve for x
    x = 177,089,311,787.52/443,874.66
  6. Step 6: Final answer
    x = 398,962.43

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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.