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Finding the Fourth Proportional to 298,732.68, 412,162.66 and 177,777

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Solution

The fourth proportional to 298,732.68, 412,162.66 and 177,777 is: 245,279.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,732.68 : 412,162.66 = 177,777 : x
  2. Step 2: Convert to fraction form
    298,732.68/412,162.66 = 177,777/x
  3. Step 3: Cross multiply
    298,732.68x = 412,162.66 × 177,777
  4. Step 4: Simplify right side
    298,732.68x = 73,273,041,206.82
  5. Step 5: Solve for x
    x = 73,273,041,206.82/298,732.68
  6. Step 6: Final answer
    x = 245,279.63

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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.