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Finding the Fourth Proportional to 809,179.64, 1,214,119.38 and 310,427

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Solution

The fourth proportional to 809,179.64, 1,214,119.38 and 310,427 is: 465,774.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,179.64 : 1,214,119.38 = 310,427 : x
  2. Step 2: Convert to fraction form
    809,179.64/1,214,119.38 = 310,427/x
  3. Step 3: Cross multiply
    809,179.64x = 1,214,119.38 × 310,427
  4. Step 4: Simplify right side
    809,179.64x = 376,895,436,775.26
  5. Step 5: Solve for x
    x = 376,895,436,775.26/809,179.64
  6. Step 6: Final answer
    x = 465,774.74

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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.