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Finding the Fourth Proportional to 377,822.80, 521,394.60 and 205,738

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Solution

The fourth proportional to 377,822.80, 521,394.60 and 205,738 is: 283,917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,822.80 : 521,394.60 = 205,738 : x
  2. Step 2: Convert to fraction form
    377,822.80/521,394.60 = 205,738/x
  3. Step 3: Cross multiply
    377,822.80x = 521,394.60 × 205,738
  4. Step 4: Simplify right side
    377,822.80x = 107,270,682,214.80
  5. Step 5: Solve for x
    x = 107,270,682,214.80/377,822.80
  6. Step 6: Final answer
    x = 283,917.97

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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.