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Finding the Fourth Proportional to 311,411.70, 467,117.55 and 199,218.60

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Solution

The fourth proportional to 311,411.70, 467,117.55 and 199,218.60 is: 298,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,411.70 : 467,117.55 = 199,218.60 : x
  2. Step 2: Convert to fraction form
    311,411.70/467,117.55 = 199,218.60/x
  3. Step 3: Cross multiply
    311,411.70x = 467,117.55 × 199,218.60
  4. Step 4: Simplify right side
    311,411.70x = 93,058,504,346.43
  5. Step 5: Solve for x
    x = 93,058,504,346.43/311,411.70
  6. Step 6: Final answer
    x = 298,827.90

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1.5x scale

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.