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Finding the Fourth Proportional to 405,136.20, 607,704.30 and 399,231.30

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Solution

The fourth proportional to 405,136.20, 607,704.30 and 399,231.30 is: 598,846.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,136.20 : 607,704.30 = 399,231.30 : x
  2. Step 2: Convert to fraction form
    405,136.20/607,704.30 = 399,231.30/x
  3. Step 3: Cross multiply
    405,136.20x = 607,704.30 × 399,231.30
  4. Step 4: Simplify right side
    405,136.20x = 242,614,577,704.59
  5. Step 5: Solve for x
    x = 242,614,577,704.59/405,136.20
  6. Step 6: Final answer
    x = 598,846.95

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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.