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Finding the Fourth Proportional to 455,046.67, 682,278.40 and 188,990.83

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Solution

The fourth proportional to 455,046.67, 682,278.40 and 188,990.83 is: 283,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,046.67 : 682,278.40 = 188,990.83 : x
  2. Step 2: Convert to fraction form
    455,046.67/682,278.40 = 188,990.83/x
  3. Step 3: Cross multiply
    455,046.67x = 682,278.40 × 188,990.83
  4. Step 4: Simplify right side
    455,046.67x = 128,944,361,107.07
  5. Step 5: Solve for x
    x = 128,944,361,107.07/455,046.67
  6. Step 6: Final answer
    x = 283,365.14

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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.