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Finding the Fourth Proportional to 281,007.80, 420,636.90 and 162,326.60

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Solution

The fourth proportional to 281,007.80, 420,636.90 and 162,326.60 is: 242,984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,007.80 : 420,636.90 = 162,326.60 : x
  2. Step 2: Convert to fraction form
    281,007.80/420,636.90 = 162,326.60/x
  3. Step 3: Cross multiply
    281,007.80x = 420,636.90 × 162,326.60
  4. Step 4: Simplify right side
    281,007.80x = 68,280,557,811.54
  5. Step 5: Solve for x
    x = 68,280,557,811.54/281,007.80
  6. Step 6: Final answer
    x = 242,984.56

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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.