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Finding the Fourth Proportional to 509,382.82, 763,599.12 and 172,189

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Solution

The fourth proportional to 509,382.82, 763,599.12 and 172,189 is: 258,122.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,382.82 : 763,599.12 = 172,189 : x
  2. Step 2: Convert to fraction form
    509,382.82/763,599.12 = 172,189/x
  3. Step 3: Cross multiply
    509,382.82x = 763,599.12 × 172,189
  4. Step 4: Simplify right side
    509,382.82x = 131,483,368,873.68
  5. Step 5: Solve for x
    x = 131,483,368,873.68/509,382.82
  6. Step 6: Final answer
    x = 258,122.90

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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.