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Finding the Fourth Proportional to 409,007.75, 613,611.09 and 139,153.82

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Solution

The fourth proportional to 409,007.75, 613,611.09 and 139,153.82 is: 208,764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,007.75 : 613,611.09 = 139,153.82 : x
  2. Step 2: Convert to fraction form
    409,007.75/613,611.09 = 139,153.82/x
  3. Step 3: Cross multiply
    409,007.75x = 613,611.09 × 139,153.82
  4. Step 4: Simplify right side
    409,007.75x = 85,386,324,099.81
  5. Step 5: Solve for x
    x = 85,386,324,099.81/409,007.75
  6. Step 6: Final answer
    x = 208,764.57

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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.