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Finding the Fourth Proportional to 557,338.82, 769,175 and 315,664.38

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Solution

The fourth proportional to 557,338.82, 769,175 and 315,664.38 is: 435,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,338.82 : 769,175 = 315,664.38 : x
  2. Step 2: Convert to fraction form
    557,338.82/769,175 = 315,664.38/x
  3. Step 3: Cross multiply
    557,338.82x = 769,175 × 315,664.38
  4. Step 4: Simplify right side
    557,338.82x = 242,801,149,486.50
  5. Step 5: Solve for x
    x = 242,801,149,486.50/557,338.82
  6. Step 6: Final answer
    x = 435,643.71

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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.