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Finding the Fourth Proportional to 311,477, 467,273.88 and 145,265

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Solution

The fourth proportional to 311,477, 467,273.88 and 145,265 is: 217,924.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,477 : 467,273.88 = 145,265 : x
  2. Step 2: Convert to fraction form
    311,477/467,273.88 = 145,265/x
  3. Step 3: Cross multiply
    311,477x = 467,273.88 × 145,265
  4. Step 4: Simplify right side
    311,477x = 67,878,540,178.20
  5. Step 5: Solve for x
    x = 67,878,540,178.20/311,477
  6. Step 6: Final answer
    x = 217,924.73

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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.