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Finding the Fourth Proportional to 455,736, 628,969.14 and 274,539.42

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Solution

The fourth proportional to 455,736, 628,969.14 and 274,539.42 is: 378,896.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,736 : 628,969.14 = 274,539.42 : x
  2. Step 2: Convert to fraction form
    455,736/628,969.14 = 274,539.42/x
  3. Step 3: Cross multiply
    455,736x = 628,969.14 × 274,539.42
  4. Step 4: Simplify right side
    455,736x = 172,676,822,893.50
  5. Step 5: Solve for x
    x = 172,676,822,893.50/455,736
  6. Step 6: Final answer
    x = 378,896.60

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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.