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Finding the Fourth Proportional to 281,039.82, 387,849.15 and 166,384.26

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Solution

The fourth proportional to 281,039.82, 387,849.15 and 166,384.26 is: 229,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,039.82 : 387,849.15 = 166,384.26 : x
  2. Step 2: Convert to fraction form
    281,039.82/387,849.15 = 166,384.26/x
  3. Step 3: Cross multiply
    281,039.82x = 387,849.15 × 166,384.26
  4. Step 4: Simplify right side
    281,039.82x = 64,531,993,814.38
  5. Step 5: Solve for x
    x = 64,531,993,814.38/281,039.82
  6. Step 6: Final answer
    x = 229,618.68

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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.