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Finding the Fourth Proportional to 311,208.10, 466,812.15 and 100,867.30

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Solution

The fourth proportional to 311,208.10, 466,812.15 and 100,867.30 is: 151,300.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,208.10 : 466,812.15 = 100,867.30 : x
  2. Step 2: Convert to fraction form
    311,208.10/466,812.15 = 100,867.30/x
  3. Step 3: Cross multiply
    311,208.10x = 466,812.15 × 100,867.30
  4. Step 4: Simplify right side
    311,208.10x = 47,086,081,177.70
  5. Step 5: Solve for x
    x = 47,086,081,177.70/311,208.10
  6. Step 6: Final answer
    x = 151,300.95

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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.