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Finding the Fourth Proportional to 311,580.10, 467,370.15 and 111,931.30

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Solution

The fourth proportional to 311,580.10, 467,370.15 and 111,931.30 is: 167,896.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,580.10 : 467,370.15 = 111,931.30 : x
  2. Step 2: Convert to fraction form
    311,580.10/467,370.15 = 111,931.30/x
  3. Step 3: Cross multiply
    311,580.10x = 467,370.15 × 111,931.30
  4. Step 4: Simplify right side
    311,580.10x = 52,313,348,470.70
  5. Step 5: Solve for x
    x = 52,313,348,470.70/311,580.10
  6. Step 6: Final answer
    x = 167,896.95

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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.