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Finding the Fourth Proportional to 408,097.20, 612,145.80 and 401,098.80

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Solution

The fourth proportional to 408,097.20, 612,145.80 and 401,098.80 is: 601,648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,097.20 : 612,145.80 = 401,098.80 : x
  2. Step 2: Convert to fraction form
    408,097.20/612,145.80 = 401,098.80/x
  3. Step 3: Cross multiply
    408,097.20x = 612,145.80 × 401,098.80
  4. Step 4: Simplify right side
    408,097.20x = 245,530,945,805.04
  5. Step 5: Solve for x
    x = 245,530,945,805.04/408,097.20
  6. Step 6: Final answer
    x = 601,648.20

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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.