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Finding the Fourth Proportional to 281,532.80, 388,516.56 and 154,208

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Solution

The fourth proportional to 281,532.80, 388,516.56 and 154,208 is: 212,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,532.80 : 388,516.56 = 154,208 : x
  2. Step 2: Convert to fraction form
    281,532.80/388,516.56 = 154,208/x
  3. Step 3: Cross multiply
    281,532.80x = 388,516.56 × 154,208
  4. Step 4: Simplify right side
    281,532.80x = 59,912,361,684.48
  5. Step 5: Solve for x
    x = 59,912,361,684.48/281,532.80
  6. Step 6: Final answer
    x = 212,807.75

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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.