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Finding the Fourth Proportional to 321,311.90, 443,384.31 and 178,077.98

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Solution

The fourth proportional to 321,311.90, 443,384.31 and 178,077.98 is: 245,733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,311.90 : 443,384.31 = 178,077.98 : x
  2. Step 2: Convert to fraction form
    321,311.90/443,384.31 = 178,077.98/x
  3. Step 3: Cross multiply
    321,311.90x = 443,384.31 × 178,077.98
  4. Step 4: Simplify right side
    321,311.90x = 78,956,982,288.49
  5. Step 5: Solve for x
    x = 78,956,982,288.49/321,311.90
  6. Step 6: Final answer
    x = 245,733.14

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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.