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Finding the Fourth Proportional to 257,273.82, 385,951.64 and 79,744.10

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Solution

The fourth proportional to 257,273.82, 385,951.64 and 79,744.10 is: 119,628.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,273.82 : 385,951.64 = 79,744.10 : x
  2. Step 2: Convert to fraction form
    257,273.82/385,951.64 = 79,744.10/x
  3. Step 3: Cross multiply
    257,273.82x = 385,951.64 × 79,744.10
  4. Step 4: Simplify right side
    257,273.82x = 30,777,363,846.85
  5. Step 5: Solve for x
    x = 30,777,363,846.85/257,273.82
  6. Step 6: Final answer
    x = 119,628.82

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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.