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Finding the Fourth Proportional to 281,067.80, 420,726.90 and 162,386.60

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Solution

The fourth proportional to 281,067.80, 420,726.90 and 162,386.60 is: 243,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,067.80 : 420,726.90 = 162,386.60 : x
  2. Step 2: Convert to fraction form
    281,067.80/420,726.90 = 162,386.60/x
  3. Step 3: Cross multiply
    281,067.80x = 420,726.90 × 162,386.60
  4. Step 4: Simplify right side
    281,067.80x = 68,320,410,819.54
  5. Step 5: Solve for x
    x = 68,320,410,819.54/281,067.80
  6. Step 6: Final answer
    x = 243,074.49

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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.