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Finding the Fourth Proportional to 200,221.80, 299,895.30 and 155,497.65

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Solution

The fourth proportional to 200,221.80, 299,895.30 and 155,497.65 is: 232,906.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,221.80 : 299,895.30 = 155,497.65 : x
  2. Step 2: Convert to fraction form
    200,221.80/299,895.30 = 155,497.65/x
  3. Step 3: Cross multiply
    200,221.80x = 299,895.30 × 155,497.65
  4. Step 4: Simplify right side
    200,221.80x = 46,633,014,396.05
  5. Step 5: Solve for x
    x = 46,633,014,396.05/200,221.80
  6. Step 6: Final answer
    x = 232,906.78

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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.