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Finding the Fourth Proportional to 252,383.80, 378,114.90 and 205,382.20

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Solution

The fourth proportional to 252,383.80, 378,114.90 and 205,382.20 is: 307,698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,383.80 : 378,114.90 = 205,382.20 : x
  2. Step 2: Convert to fraction form
    252,383.80/378,114.90 = 205,382.20/x
  3. Step 3: Cross multiply
    252,383.80x = 378,114.90 × 205,382.20
  4. Step 4: Simplify right side
    252,383.80x = 77,658,070,014.78
  5. Step 5: Solve for x
    x = 77,658,070,014.78/252,383.80
  6. Step 6: Final answer
    x = 307,698.32

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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.