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Finding the Fourth Proportional to 311,399.50, 429,837.43 and 193,618.62

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Solution

The fourth proportional to 311,399.50, 429,837.43 and 193,618.62 is: 267,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,399.50 : 429,837.43 = 193,618.62 : x
  2. Step 2: Convert to fraction form
    311,399.50/429,837.43 = 193,618.62/x
  3. Step 3: Cross multiply
    311,399.50x = 429,837.43 × 193,618.62
  4. Step 4: Simplify right side
    311,399.50x = 83,224,530,020.95
  5. Step 5: Solve for x
    x = 83,224,530,020.95/311,399.50
  6. Step 6: Final answer
    x = 267,259.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.