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Finding the Fourth Proportional to 328,687.20, 493,225.20 and 118,297.80

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Solution

The fourth proportional to 328,687.20, 493,225.20 and 118,297.80 is: 177,516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,687.20 : 493,225.20 = 118,297.80 : x
  2. Step 2: Convert to fraction form
    328,687.20/493,225.20 = 118,297.80/x
  3. Step 3: Cross multiply
    328,687.20x = 493,225.20 × 118,297.80
  4. Step 4: Simplify right side
    328,687.20x = 58,347,456,064.56
  5. Step 5: Solve for x
    x = 58,347,456,064.56/328,687.20
  6. Step 6: Final answer
    x = 177,516.67

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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.