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Finding the Fourth Proportional to 259,876, 389,823.20 and 133,482.08

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Solution

The fourth proportional to 259,876, 389,823.20 and 133,482.08 is: 200,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,876 : 389,823.20 = 133,482.08 : x
  2. Step 2: Convert to fraction form
    259,876/389,823.20 = 133,482.08/x
  3. Step 3: Cross multiply
    259,876x = 389,823.20 × 133,482.08
  4. Step 4: Simplify right side
    259,876x = 52,034,411,568.26
  5. Step 5: Solve for x
    x = 52,034,411,568.26/259,876
  6. Step 6: Final answer
    x = 200,227.85

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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.