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Finding the Fourth Proportional to 281,380.50, 388,314.90 and 154,057.14

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Solution

The fourth proportional to 281,380.50, 388,314.90 and 154,057.14 is: 212,604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,380.50 : 388,314.90 = 154,057.14 : x
  2. Step 2: Convert to fraction form
    281,380.50/388,314.90 = 154,057.14/x
  3. Step 3: Cross multiply
    281,380.50x = 388,314.90 × 154,057.14
  4. Step 4: Simplify right side
    281,380.50x = 59,822,682,913.39
  5. Step 5: Solve for x
    x = 59,822,682,913.39/281,380.50
  6. Step 6: Final answer
    x = 212,604.22

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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.