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Finding the Fourth Proportional to 281,809.38, 388,936.98 and 174,414

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Solution

The fourth proportional to 281,809.38, 388,936.98 and 174,414 is: 240,716.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,809.38 : 388,936.98 = 174,414 : x
  2. Step 2: Convert to fraction form
    281,809.38/388,936.98 = 174,414/x
  3. Step 3: Cross multiply
    281,809.38x = 388,936.98 × 174,414
  4. Step 4: Simplify right side
    281,809.38x = 67,836,054,429.72
  5. Step 5: Solve for x
    x = 67,836,054,429.72/281,809.38
  6. Step 6: Final answer
    x = 240,716.10

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1.5x scale

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.