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Finding the Fourth Proportional to 321,676.58, 443,905.10 and 185,705.94

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Solution

The fourth proportional to 321,676.58, 443,905.10 and 185,705.94 is: 256,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,676.58 : 443,905.10 = 185,705.94 : x
  2. Step 2: Convert to fraction form
    321,676.58/443,905.10 = 185,705.94/x
  3. Step 3: Cross multiply
    321,676.58x = 443,905.10 × 185,705.94
  4. Step 4: Simplify right side
    321,676.58x = 82,435,813,866.29
  5. Step 5: Solve for x
    x = 82,435,813,866.29/321,676.58
  6. Step 6: Final answer
    x = 256,269.24

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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.