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Finding the Fourth Proportional to 311,821.60, 467,732.40 and 307,674.40

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Solution

The fourth proportional to 311,821.60, 467,732.40 and 307,674.40 is: 461,511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,821.60 : 467,732.40 = 307,674.40 : x
  2. Step 2: Convert to fraction form
    311,821.60/467,732.40 = 307,674.40/x
  3. Step 3: Cross multiply
    311,821.60x = 467,732.40 × 307,674.40
  4. Step 4: Simplify right side
    311,821.60x = 143,909,285,530.56
  5. Step 5: Solve for x
    x = 143,909,285,530.56/311,821.60
  6. Step 6: Final answer
    x = 461,511.60

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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.