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Finding the Fourth Proportional to 281,763.28, 388,842.12 and 154,450.96

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Solution

The fourth proportional to 281,763.28, 388,842.12 and 154,450.96 is: 213,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,763.28 : 388,842.12 = 154,450.96 : x
  2. Step 2: Convert to fraction form
    281,763.28/388,842.12 = 154,450.96/x
  3. Step 3: Cross multiply
    281,763.28x = 388,842.12 × 154,450.96
  4. Step 4: Simplify right side
    281,763.28x = 60,057,038,722.44
  5. Step 5: Solve for x
    x = 60,057,038,722.44/281,763.28
  6. Step 6: Final answer
    x = 213,147.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.