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Finding the Fourth Proportional to 311,920.10, 465,623.82 and 274,086.20

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Solution

The fourth proportional to 311,920.10, 465,623.82 and 274,086.20 is: 409,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,920.10 : 465,623.82 = 274,086.20 : x
  2. Step 2: Convert to fraction form
    311,920.10/465,623.82 = 274,086.20/x
  3. Step 3: Cross multiply
    311,920.10x = 465,623.82 × 274,086.20
  4. Step 4: Simplify right side
    311,920.10x = 127,621,063,453.28
  5. Step 5: Solve for x
    x = 127,621,063,453.28/311,920.10
  6. Step 6: Final answer
    x = 409,146.65

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1.5x scale

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.