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Finding the Fourth Proportional to 200,213.30, 299,882.55 and 155,489.15

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Solution

The fourth proportional to 200,213.30, 299,882.55 and 155,489.15 is: 232,894.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,213.30 : 299,882.55 = 155,489.15 : x
  2. Step 2: Convert to fraction form
    200,213.30/299,882.55 = 155,489.15/x
  3. Step 3: Cross multiply
    200,213.30x = 299,882.55 × 155,489.15
  4. Step 4: Simplify right side
    200,213.30x = 46,628,482,799.33
  5. Step 5: Solve for x
    x = 46,628,482,799.33/200,213.30
  6. Step 6: Final answer
    x = 232,894.03

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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.