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Finding the Fourth Proportional to 363,907.20, 545,860.80 and 269,428.80

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Solution

The fourth proportional to 363,907.20, 545,860.80 and 269,428.80 is: 404,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,907.20 : 545,860.80 = 269,428.80 : x
  2. Step 2: Convert to fraction form
    363,907.20/545,860.80 = 269,428.80/x
  3. Step 3: Cross multiply
    363,907.20x = 545,860.80 × 269,428.80
  4. Step 4: Simplify right side
    363,907.20x = 147,070,620,311.04
  5. Step 5: Solve for x
    x = 147,070,620,311.04/363,907.20
  6. Step 6: Final answer
    x = 404,143.20

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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.