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Finding the Fourth Proportional to 311,934.60, 465,645.42 and 274,100.70

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Solution

The fourth proportional to 311,934.60, 465,645.42 and 274,100.70 is: 409,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,934.60 : 465,645.42 = 274,100.70 : x
  2. Step 2: Convert to fraction form
    311,934.60/465,645.42 = 274,100.70/x
  3. Step 3: Cross multiply
    311,934.60x = 465,645.42 × 274,100.70
  4. Step 4: Simplify right side
    311,934.60x = 127,633,735,573.79
  5. Step 5: Solve for x
    x = 127,633,735,573.79/311,934.60
  6. Step 6: Final answer
    x = 409,168.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.