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Finding the Fourth Proportional to 548,278.32, 820,143 and 514,686

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Solution

The fourth proportional to 548,278.32, 820,143 and 514,686 is: 769,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,278.32 : 820,143 = 514,686 : x
  2. Step 2: Convert to fraction form
    548,278.32/820,143 = 514,686/x
  3. Step 3: Cross multiply
    548,278.32x = 820,143 × 514,686
  4. Step 4: Simplify right side
    548,278.32x = 422,116,120,098
  5. Step 5: Solve for x
    x = 422,116,120,098/548,278.32
  6. Step 6: Final answer
    x = 769,893.87

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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.