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Finding the Fourth Proportional to 311,812.80, 467,719.20 and 193,617.60

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Solution

The fourth proportional to 311,812.80, 467,719.20 and 193,617.60 is: 290,426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,812.80 : 467,719.20 = 193,617.60 : x
  2. Step 2: Convert to fraction form
    311,812.80/467,719.20 = 193,617.60/x
  3. Step 3: Cross multiply
    311,812.80x = 467,719.20 × 193,617.60
  4. Step 4: Simplify right side
    311,812.80x = 90,558,668,977.92
  5. Step 5: Solve for x
    x = 90,558,668,977.92/311,812.80
  6. Step 6: Final answer
    x = 290,426.40

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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.