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Finding the Fourth Proportional to 281,384.36, 388,367.84 and 190,769.46

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Solution

The fourth proportional to 281,384.36, 388,367.84 and 190,769.46 is: 263,300.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,384.36 : 388,367.84 = 190,769.46 : x
  2. Step 2: Convert to fraction form
    281,384.36/388,367.84 = 190,769.46/x
  3. Step 3: Cross multiply
    281,384.36x = 388,367.84 × 190,769.46
  4. Step 4: Simplify right side
    281,384.36x = 74,088,723,118.17
  5. Step 5: Solve for x
    x = 74,088,723,118.17/281,384.36
  6. Step 6: Final answer
    x = 263,300.79

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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.