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Finding the Fourth Proportional to 321,101.73, 443,134.98 and 177,861.76

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Solution

The fourth proportional to 321,101.73, 443,134.98 and 177,861.76 is: 245,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,101.73 : 443,134.98 = 177,861.76 : x
  2. Step 2: Convert to fraction form
    321,101.73/443,134.98 = 177,861.76/x
  3. Step 3: Cross multiply
    321,101.73x = 443,134.98 × 177,861.76
  4. Step 4: Simplify right side
    321,101.73x = 78,816,767,460.36
  5. Step 5: Solve for x
    x = 78,816,767,460.36/321,101.73
  6. Step 6: Final answer
    x = 245,457.31

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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.