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Finding the Fourth Proportional to 281,671, 388,706 and 162,439

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Solution

The fourth proportional to 281,671, 388,706 and 162,439 is: 224,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,671 : 388,706 = 162,439 : x
  2. Step 2: Convert to fraction form
    281,671/388,706 = 162,439/x
  3. Step 3: Cross multiply
    281,671x = 388,706 × 162,439
  4. Step 4: Simplify right side
    281,671x = 63,141,013,934
  5. Step 5: Solve for x
    x = 63,141,013,934/281,671
  6. Step 6: Final answer
    x = 224,165.83

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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.