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Finding the Fourth Proportional to 695,170, 1,042,761.39 and 274,445.88

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Solution

The fourth proportional to 695,170, 1,042,761.39 and 274,445.88 is: 411,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,170 : 1,042,761.39 = 274,445.88 : x
  2. Step 2: Convert to fraction form
    695,170/1,042,761.39 = 274,445.88/x
  3. Step 3: Cross multiply
    695,170x = 1,042,761.39 × 274,445.88
  4. Step 4: Simplify right side
    695,170x = 286,181,567,308.57
  5. Step 5: Solve for x
    x = 286,181,567,308.57/695,170
  6. Step 6: Final answer
    x = 411,671.34

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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.