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Finding the Fourth Proportional to 311,322.80, 466,984.20 and 205,034.60

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Solution

The fourth proportional to 311,322.80, 466,984.20 and 205,034.60 is: 307,551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,322.80 : 466,984.20 = 205,034.60 : x
  2. Step 2: Convert to fraction form
    311,322.80/466,984.20 = 205,034.60/x
  3. Step 3: Cross multiply
    311,322.80x = 466,984.20 × 205,034.60
  4. Step 4: Simplify right side
    311,322.80x = 95,747,918,653.32
  5. Step 5: Solve for x
    x = 95,747,918,653.32/311,322.80
  6. Step 6: Final answer
    x = 307,551.90

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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.