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Finding the Fourth Proportional to 409,037.70, 613,584.59 and 139,056

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Solution

The fourth proportional to 409,037.70, 613,584.59 and 139,056 is: 208,593.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,037.70 : 613,584.59 = 139,056 : x
  2. Step 2: Convert to fraction form
    409,037.70/613,584.59 = 139,056/x
  3. Step 3: Cross multiply
    409,037.70x = 613,584.59 × 139,056
  4. Step 4: Simplify right side
    409,037.70x = 85,322,618,747.04
  5. Step 5: Solve for x
    x = 85,322,618,747.04/409,037.70
  6. Step 6: Final answer
    x = 208,593.53

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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.