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Finding the Fourth Proportional to 311,904.60, 467,856.90 and 279,245.40

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Solution

The fourth proportional to 311,904.60, 467,856.90 and 279,245.40 is: 418,868.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,904.60 : 467,856.90 = 279,245.40 : x
  2. Step 2: Convert to fraction form
    311,904.60/467,856.90 = 279,245.40/x
  3. Step 3: Cross multiply
    311,904.60x = 467,856.90 × 279,245.40
  4. Step 4: Simplify right side
    311,904.60x = 130,646,887,183.26
  5. Step 5: Solve for x
    x = 130,646,887,183.26/311,904.60
  6. Step 6: Final answer
    x = 418,868.10

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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.