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Finding the Fourth Proportional to 281,291.82, 388,183.14 and 153,975.48

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Solution

The fourth proportional to 281,291.82, 388,183.14 and 153,975.48 is: 212,486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,291.82 : 388,183.14 = 153,975.48 : x
  2. Step 2: Convert to fraction form
    281,291.82/388,183.14 = 153,975.48/x
  3. Step 3: Cross multiply
    281,291.82x = 388,183.14 × 153,975.48
  4. Step 4: Simplify right side
    281,291.82x = 59,770,685,309.41
  5. Step 5: Solve for x
    x = 59,770,685,309.41/281,291.82
  6. Step 6: Final answer
    x = 212,486.40

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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.