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Finding the Fourth Proportional to 689,791.72, 951,902.82 and 387,985

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Solution

The fourth proportional to 689,791.72, 951,902.82 and 387,985 is: 535,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,791.72 : 951,902.82 = 387,985 : x
  2. Step 2: Convert to fraction form
    689,791.72/951,902.82 = 387,985/x
  3. Step 3: Cross multiply
    689,791.72x = 951,902.82 × 387,985
  4. Step 4: Simplify right side
    689,791.72x = 369,324,015,617.70
  5. Step 5: Solve for x
    x = 369,324,015,617.70/689,791.72
  6. Step 6: Final answer
    x = 535,413.81

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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.