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Finding the Fourth Proportional to 311,623.80, 467,435.70 and 193,428.60

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Solution

The fourth proportional to 311,623.80, 467,435.70 and 193,428.60 is: 290,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,623.80 : 467,435.70 = 193,428.60 : x
  2. Step 2: Convert to fraction form
    311,623.80/467,435.70 = 193,428.60/x
  3. Step 3: Cross multiply
    311,623.80x = 467,435.70 × 193,428.60
  4. Step 4: Simplify right side
    311,623.80x = 90,415,433,041.02
  5. Step 5: Solve for x
    x = 90,415,433,041.02/311,623.80
  6. Step 6: Final answer
    x = 290,142.90

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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.