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Finding the Fourth Proportional to 419,136.05, 628,704.27 and 138,653.30

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Solution

The fourth proportional to 419,136.05, 628,704.27 and 138,653.30 is: 207,980.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,136.05 : 628,704.27 = 138,653.30 : x
  2. Step 2: Convert to fraction form
    419,136.05/628,704.27 = 138,653.30/x
  3. Step 3: Cross multiply
    419,136.05x = 628,704.27 × 138,653.30
  4. Step 4: Simplify right side
    419,136.05x = 87,171,918,616.07
  5. Step 5: Solve for x
    x = 87,171,918,616.07/419,136.05
  6. Step 6: Final answer
    x = 207,980.01

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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.