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Finding the Fourth Proportional to 363,914.20, 545,871.30 and 269,435.80

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Solution

The fourth proportional to 363,914.20, 545,871.30 and 269,435.80 is: 404,153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,914.20 : 545,871.30 = 269,435.80 : x
  2. Step 2: Convert to fraction form
    363,914.20/545,871.30 = 269,435.80/x
  3. Step 3: Cross multiply
    363,914.20x = 545,871.30 × 269,435.80
  4. Step 4: Simplify right side
    363,914.20x = 147,077,270,412.54
  5. Step 5: Solve for x
    x = 147,077,270,412.54/363,914.20
  6. Step 6: Final answer
    x = 404,153.70

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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.