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Finding the Fourth Proportional to 413,606.22, 620,940.63 and 318,896.56

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Solution

The fourth proportional to 413,606.22, 620,940.63 and 318,896.56 is: 478,754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,606.22 : 620,940.63 = 318,896.56 : x
  2. Step 2: Convert to fraction form
    413,606.22/620,940.63 = 318,896.56/x
  3. Step 3: Cross multiply
    413,606.22x = 620,940.63 × 318,896.56
  4. Step 4: Simplify right side
    413,606.22x = 198,015,832,843.27
  5. Step 5: Solve for x
    x = 198,015,832,843.27/413,606.22
  6. Step 6: Final answer
    x = 478,754.49

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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.