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Finding the Fourth Proportional to 289,102.44, 433,404.23 and 139,136.41

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Solution

The fourth proportional to 289,102.44, 433,404.23 and 139,136.41 is: 208,584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,102.44 : 433,404.23 = 139,136.41 : x
  2. Step 2: Convert to fraction form
    289,102.44/433,404.23 = 139,136.41/x
  3. Step 3: Cross multiply
    289,102.44x = 433,404.23 × 139,136.41
  4. Step 4: Simplify right side
    289,102.44x = 60,302,308,641.01
  5. Step 5: Solve for x
    x = 60,302,308,641.01/289,102.44
  6. Step 6: Final answer
    x = 208,584.57

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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.