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Finding the Fourth Proportional to 408,996.40, 613,849.04 and 408,050.72

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Solution

The fourth proportional to 408,996.40, 613,849.04 and 408,050.72 is: 612,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,996.40 : 613,849.04 = 408,050.72 : x
  2. Step 2: Convert to fraction form
    408,996.40/613,849.04 = 408,050.72/x
  3. Step 3: Cross multiply
    408,996.40x = 613,849.04 × 408,050.72
  4. Step 4: Simplify right side
    408,996.40x = 250,481,542,743.31
  5. Step 5: Solve for x
    x = 250,481,542,743.31/408,996.40
  6. Step 6: Final answer
    x = 612,429.70

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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.