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Finding the Fourth Proportional to 270,012.80, 404,695.20 and 185,772.80

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Solution

The fourth proportional to 270,012.80, 404,695.20 and 185,772.80 is: 278,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,012.80 : 404,695.20 = 185,772.80 : x
  2. Step 2: Convert to fraction form
    270,012.80/404,695.20 = 185,772.80/x
  3. Step 3: Cross multiply
    270,012.80x = 404,695.20 × 185,772.80
  4. Step 4: Simplify right side
    270,012.80x = 75,181,360,450.56
  5. Step 5: Solve for x
    x = 75,181,360,450.56/270,012.80
  6. Step 6: Final answer
    x = 278,436.28

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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.