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Finding the Fourth Proportional to 643,338.38, 964,727.21 and 216,794.71

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Solution

The fourth proportional to 643,338.38, 964,727.21 and 216,794.71 is: 325,097.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,338.38 : 964,727.21 = 216,794.71 : x
  2. Step 2: Convert to fraction form
    643,338.38/964,727.21 = 216,794.71/x
  3. Step 3: Cross multiply
    643,338.38x = 964,727.21 × 216,794.71
  4. Step 4: Simplify right side
    643,338.38x = 209,147,757,468.96
  5. Step 5: Solve for x
    x = 209,147,757,468.96/643,338.38
  6. Step 6: Final answer
    x = 325,097.59

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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.