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Finding the Fourth Proportional to 419,818.36, 629,581.72 and 139,270

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Solution

The fourth proportional to 419,818.36, 629,581.72 and 139,270 is: 208,856.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,818.36 : 629,581.72 = 139,270 : x
  2. Step 2: Convert to fraction form
    419,818.36/629,581.72 = 139,270/x
  3. Step 3: Cross multiply
    419,818.36x = 629,581.72 × 139,270
  4. Step 4: Simplify right side
    419,818.36x = 87,681,846,144.40
  5. Step 5: Solve for x
    x = 87,681,846,144.40/419,818.36
  6. Step 6: Final answer
    x = 208,856.63

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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.