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Finding the Fourth Proportional to 557,878.26, 769,842.48 and 316,163.73

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Solution

The fourth proportional to 557,878.26, 769,842.48 and 316,163.73 is: 436,289.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,878.26 : 769,842.48 = 316,163.73 : x
  2. Step 2: Convert to fraction form
    557,878.26/769,842.48 = 316,163.73/x
  3. Step 3: Cross multiply
    557,878.26x = 769,842.48 × 316,163.73
  4. Step 4: Simplify right side
    557,878.26x = 243,396,268,408.43
  5. Step 5: Solve for x
    x = 243,396,268,408.43/557,878.26
  6. Step 6: Final answer
    x = 436,289.22

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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.