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Finding the Fourth Proportional to 843,900.30, 1,265,714.01 and 311,671.98

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Solution

The fourth proportional to 843,900.30, 1,265,714.01 and 311,671.98 is: 467,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,900.30 : 1,265,714.01 = 311,671.98 : x
  2. Step 2: Convert to fraction form
    843,900.30/1,265,714.01 = 311,671.98/x
  3. Step 3: Cross multiply
    843,900.30x = 1,265,714.01 × 311,671.98
  4. Step 4: Simplify right side
    843,900.30x = 394,487,591,610.44
  5. Step 5: Solve for x
    x = 394,487,591,610.44/843,900.30
  6. Step 6: Final answer
    x = 467,457.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.