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Finding the Fourth Proportional to 682,208.38, 1,023,315 and 208,891.77

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Solution

The fourth proportional to 682,208.38, 1,023,315 and 208,891.77 is: 313,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,208.38 : 1,023,315 = 208,891.77 : x
  2. Step 2: Convert to fraction form
    682,208.38/1,023,315 = 208,891.77/x
  3. Step 3: Cross multiply
    682,208.38x = 1,023,315 × 208,891.77
  4. Step 4: Simplify right side
    682,208.38x = 213,762,081,617.55
  5. Step 5: Solve for x
    x = 213,762,081,617.55/682,208.38
  6. Step 6: Final answer
    x = 313,338.40

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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.