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Finding the Fourth Proportional to 591,413, 816,149.94 and 323,141

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Solution

The fourth proportional to 591,413, 816,149.94 and 323,141 is: 445,934.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,413 : 816,149.94 = 323,141 : x
  2. Step 2: Convert to fraction form
    591,413/816,149.94 = 323,141/x
  3. Step 3: Cross multiply
    591,413x = 816,149.94 × 323,141
  4. Step 4: Simplify right side
    591,413x = 263,731,507,761.54
  5. Step 5: Solve for x
    x = 263,731,507,761.54/591,413
  6. Step 6: Final answer
    x = 445,934.58

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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.