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Finding the Fourth Proportional to 281,408.49, 388,339.88 and 154,084.10

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Solution

The fourth proportional to 281,408.49, 388,339.88 and 154,084.10 is: 212,633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,408.49 : 388,339.88 = 154,084.10 : x
  2. Step 2: Convert to fraction form
    281,408.49/388,339.88 = 154,084.10/x
  3. Step 3: Cross multiply
    281,408.49x = 388,339.88 × 154,084.10
  4. Step 4: Simplify right side
    281,408.49x = 59,836,998,191.79
  5. Step 5: Solve for x
    x = 59,836,998,191.79/281,408.49
  6. Step 6: Final answer
    x = 212,633.95

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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.