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Finding the Fourth Proportional to 491,409.43, 737,078.60 and 154,546.45

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Solution

The fourth proportional to 491,409.43, 737,078.60 and 154,546.45 is: 231,808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,409.43 : 737,078.60 = 154,546.45 : x
  2. Step 2: Convert to fraction form
    491,409.43/737,078.60 = 154,546.45/x
  3. Step 3: Cross multiply
    491,409.43x = 737,078.60 × 154,546.45
  4. Step 4: Simplify right side
    491,409.43x = 113,912,879,544.64
  5. Step 5: Solve for x
    x = 113,912,879,544.64/491,409.43
  6. Step 6: Final answer
    x = 231,808.49

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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.