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Finding the Fourth Proportional to 402,893.80, 603,822.30 and 192,077.80

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Solution

The fourth proportional to 402,893.80, 603,822.30 and 192,077.80 is: 287,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,893.80 : 603,822.30 = 192,077.80 : x
  2. Step 2: Convert to fraction form
    402,893.80/603,822.30 = 192,077.80/x
  3. Step 3: Cross multiply
    402,893.80x = 603,822.30 × 192,077.80
  4. Step 4: Simplify right side
    402,893.80x = 115,980,858,974.94
  5. Step 5: Solve for x
    x = 115,980,858,974.94/402,893.80
  6. Step 6: Final answer
    x = 287,869.56

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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.