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Finding the Fourth Proportional to 591,422, 816,162.36 and 323,150

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Solution

The fourth proportional to 591,422, 816,162.36 and 323,150 is: 445,947

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,422 : 816,162.36 = 323,150 : x
  2. Step 2: Convert to fraction form
    591,422/816,162.36 = 323,150/x
  3. Step 3: Cross multiply
    591,422x = 816,162.36 × 323,150
  4. Step 4: Simplify right side
    591,422x = 263,742,866,634
  5. Step 5: Solve for x
    x = 263,742,866,634/591,422
  6. Step 6: Final answer
    x = 445,947

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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.