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Finding the Fourth Proportional to 225,684.18, 311,654.84 and 145,251.78

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Solution

The fourth proportional to 225,684.18, 311,654.84 and 145,251.78 is: 200,583.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,684.18 : 311,654.84 = 145,251.78 : x
  2. Step 2: Convert to fraction form
    225,684.18/311,654.84 = 145,251.78/x
  3. Step 3: Cross multiply
    225,684.18x = 311,654.84 × 145,251.78
  4. Step 4: Simplify right side
    225,684.18x = 45,268,420,255.62
  5. Step 5: Solve for x
    x = 45,268,420,255.62/225,684.18
  6. Step 6: Final answer
    x = 200,583.05

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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.