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Finding the Fourth Proportional to 281,013.80, 420,645.90 and 162,332.60

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Solution

The fourth proportional to 281,013.80, 420,645.90 and 162,332.60 is: 242,993.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,013.80 : 420,645.90 = 162,332.60 : x
  2. Step 2: Convert to fraction form
    281,013.80/420,645.90 = 162,332.60/x
  3. Step 3: Cross multiply
    281,013.80x = 420,645.90 × 162,332.60
  4. Step 4: Simplify right side
    281,013.80x = 68,284,542,626.34
  5. Step 5: Solve for x
    x = 68,284,542,626.34/281,013.80
  6. Step 6: Final answer
    x = 242,993.56

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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.