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Finding the Fourth Proportional to 809,551, 1,214,384.82 and 310,915

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Solution

The fourth proportional to 809,551, 1,214,384.82 and 310,915 is: 466,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,551 : 1,214,384.82 = 310,915 : x
  2. Step 2: Convert to fraction form
    809,551/1,214,384.82 = 310,915/x
  3. Step 3: Cross multiply
    809,551x = 1,214,384.82 × 310,915
  4. Step 4: Simplify right side
    809,551x = 377,570,456,310.30
  5. Step 5: Solve for x
    x = 377,570,456,310.30/809,551
  6. Step 6: Final answer
    x = 466,394.90

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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.