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Finding the Fourth Proportional to 402,310.19, 603,993.00 and 269,783.66

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Solution

The fourth proportional to 402,310.19, 603,993.00 and 269,783.66 is: 405,029.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,310.19 : 603,993.00 = 269,783.66 : x
  2. Step 2: Convert to fraction form
    402,310.19/603,993.00 = 269,783.66/x
  3. Step 3: Cross multiply
    402,310.19x = 603,993.00 × 269,783.66
  4. Step 4: Simplify right side
    402,310.19x = 162,947,444,676.05
  5. Step 5: Solve for x
    x = 162,947,444,676.05/402,310.19
  6. Step 6: Final answer
    x = 405,029.37

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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.