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Finding the Fourth Proportional to 281,532.84, 388,524.78 and 154,215.60

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Solution

The fourth proportional to 281,532.84, 388,524.78 and 154,215.60 is: 212,822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,532.84 : 388,524.78 = 154,215.60 : x
  2. Step 2: Convert to fraction form
    281,532.84/388,524.78 = 154,215.60/x
  3. Step 3: Cross multiply
    281,532.84x = 388,524.78 × 154,215.60
  4. Step 4: Simplify right side
    281,532.84x = 59,916,582,062.57
  5. Step 5: Solve for x
    x = 59,916,582,062.57/281,532.84
  6. Step 6: Final answer
    x = 212,822.71

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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.