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Finding the Fourth Proportional to 311,813.20, 467,063.70 and 259,325.20

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Solution

The fourth proportional to 311,813.20, 467,063.70 and 259,325.20 is: 388,442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,813.20 : 467,063.70 = 259,325.20 : x
  2. Step 2: Convert to fraction form
    311,813.20/467,063.70 = 259,325.20/x
  3. Step 3: Cross multiply
    311,813.20x = 467,063.70 × 259,325.20
  4. Step 4: Simplify right side
    311,813.20x = 121,121,387,415.24
  5. Step 5: Solve for x
    x = 121,121,387,415.24/311,813.20
  6. Step 6: Final answer
    x = 388,442.14

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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.