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Finding the Fourth Proportional to 455,410.40, 681,803.40 and 408,171.20

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Solution

The fourth proportional to 455,410.40, 681,803.40 and 408,171.20 is: 611,080.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,410.40 : 681,803.40 = 408,171.20 : x
  2. Step 2: Convert to fraction form
    455,410.40/681,803.40 = 408,171.20/x
  3. Step 3: Cross multiply
    455,410.40x = 681,803.40 × 408,171.20
  4. Step 4: Simplify right side
    455,410.40x = 278,292,511,942.08
  5. Step 5: Solve for x
    x = 278,292,511,942.08/455,410.40
  6. Step 6: Final answer
    x = 611,080.71

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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.