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Finding the Fourth Proportional to 279,629.20, 419,443.80 and 200,897.20

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Solution

The fourth proportional to 279,629.20, 419,443.80 and 200,897.20 is: 301,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,629.20 : 419,443.80 = 200,897.20 : x
  2. Step 2: Convert to fraction form
    279,629.20/419,443.80 = 200,897.20/x
  3. Step 3: Cross multiply
    279,629.20x = 419,443.80 × 200,897.20
  4. Step 4: Simplify right side
    279,629.20x = 84,265,084,977.36
  5. Step 5: Solve for x
    x = 84,265,084,977.36/279,629.20
  6. Step 6: Final answer
    x = 301,345.80

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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.