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Finding the Fourth Proportional to 408,634.40, 611,785.20 and 361,978.40

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Solution

The fourth proportional to 408,634.40, 611,785.20 and 361,978.40 is: 541,934.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,634.40 : 611,785.20 = 361,978.40 : x
  2. Step 2: Convert to fraction form
    408,634.40/611,785.20 = 361,978.40/x
  3. Step 3: Cross multiply
    408,634.40x = 611,785.20 × 361,978.40
  4. Step 4: Simplify right side
    408,634.40x = 221,453,027,839.68
  5. Step 5: Solve for x
    x = 221,453,027,839.68/408,634.40
  6. Step 6: Final answer
    x = 541,934.37

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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.