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Finding the Fourth Proportional to 564,361.56, 778,828.32 and 309,736.44

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Solution

The fourth proportional to 564,361.56, 778,828.32 and 309,736.44 is: 427,441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,361.56 : 778,828.32 = 309,736.44 : x
  2. Step 2: Convert to fraction form
    564,361.56/778,828.32 = 309,736.44/x
  3. Step 3: Cross multiply
    564,361.56x = 778,828.32 × 309,736.44
  4. Step 4: Simplify right side
    564,361.56x = 241,231,511,207.98
  5. Step 5: Solve for x
    x = 241,231,511,207.98/564,361.56
  6. Step 6: Final answer
    x = 427,441.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.