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Finding the Fourth Proportional to 522,716.80, 782,908.80 and 404,003.20

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Solution

The fourth proportional to 522,716.80, 782,908.80 and 404,003.20 is: 605,103.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,716.80 : 782,908.80 = 404,003.20 : x
  2. Step 2: Convert to fraction form
    522,716.80/782,908.80 = 404,003.20/x
  3. Step 3: Cross multiply
    522,716.80x = 782,908.80 × 404,003.20
  4. Step 4: Simplify right side
    522,716.80x = 316,297,660,508.16
  5. Step 5: Solve for x
    x = 316,297,660,508.16/522,716.80
  6. Step 6: Final answer
    x = 605,103.30

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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.