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Finding the Fourth Proportional to 419,136.42, 628,704.84 and 138,653.67

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Solution

The fourth proportional to 419,136.42, 628,704.84 and 138,653.67 is: 207,980.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,136.42 : 628,704.84 = 138,653.67 : x
  2. Step 2: Convert to fraction form
    419,136.42/628,704.84 = 138,653.67/x
  3. Step 3: Cross multiply
    419,136.42x = 628,704.84 × 138,653.67
  4. Step 4: Simplify right side
    419,136.42x = 87,172,233,412.76
  5. Step 5: Solve for x
    x = 87,172,233,412.76/419,136.42
  6. Step 6: Final answer
    x = 207,980.57

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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.