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Finding the Fourth Proportional to 311,200.20, 466,800.30 and 277,957.80

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Solution

The fourth proportional to 311,200.20, 466,800.30 and 277,957.80 is: 416,936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,200.20 : 466,800.30 = 277,957.80 : x
  2. Step 2: Convert to fraction form
    311,200.20/466,800.30 = 277,957.80/x
  3. Step 3: Cross multiply
    311,200.20x = 466,800.30 × 277,957.80
  4. Step 4: Simplify right side
    311,200.20x = 129,750,784,427.34
  5. Step 5: Solve for x
    x = 129,750,784,427.34/311,200.20
  6. Step 6: Final answer
    x = 416,936.70

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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.