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Finding the Fourth Proportional to 281,987.49, 389,148.81 and 154,662.78

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Solution

The fourth proportional to 281,987.49, 389,148.81 and 154,662.78 is: 213,437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,987.49 : 389,148.81 = 154,662.78 : x
  2. Step 2: Convert to fraction form
    281,987.49/389,148.81 = 154,662.78/x
  3. Step 3: Cross multiply
    281,987.49x = 389,148.81 × 154,662.78
  4. Step 4: Simplify right side
    281,987.49x = 60,186,836,788.29
  5. Step 5: Solve for x
    x = 60,186,836,788.29/281,987.49
  6. Step 6: Final answer
    x = 213,437.97

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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.