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Finding the Fourth Proportional to 311,904.70, 467,200.95 and 259,416.70

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Solution

The fourth proportional to 311,904.70, 467,200.95 and 259,416.70 is: 388,579.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,904.70 : 467,200.95 = 259,416.70 : x
  2. Step 2: Convert to fraction form
    311,904.70/467,200.95 = 259,416.70/x
  3. Step 3: Cross multiply
    311,904.70x = 467,200.95 × 259,416.70
  4. Step 4: Simplify right side
    311,904.70x = 121,199,728,685.87
  5. Step 5: Solve for x
    x = 121,199,728,685.87/311,904.70
  6. Step 6: Final answer
    x = 388,579.36

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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.