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Finding the Fourth Proportional to 279,817.20, 419,725.80 and 92,828.70

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Solution

The fourth proportional to 279,817.20, 419,725.80 and 92,828.70 is: 139,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,817.20 : 419,725.80 = 92,828.70 : x
  2. Step 2: Convert to fraction form
    279,817.20/419,725.80 = 92,828.70/x
  3. Step 3: Cross multiply
    279,817.20x = 419,725.80 × 92,828.70
  4. Step 4: Simplify right side
    279,817.20x = 38,962,600,370.46
  5. Step 5: Solve for x
    x = 38,962,600,370.46/279,817.20
  6. Step 6: Final answer
    x = 139,243.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.