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Finding the Fourth Proportional to 809,555, 1,214,390.84 and 310,919

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Solution

The fourth proportional to 809,555, 1,214,390.84 and 310,919 is: 466,400.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,555 : 1,214,390.84 = 310,919 : x
  2. Step 2: Convert to fraction form
    809,555/1,214,390.84 = 310,919/x
  3. Step 3: Cross multiply
    809,555x = 1,214,390.84 × 310,919
  4. Step 4: Simplify right side
    809,555x = 377,577,185,581.96
  5. Step 5: Solve for x
    x = 377,577,185,581.96/809,555
  6. Step 6: Final answer
    x = 466,400.91

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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.