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Finding the Fourth Proportional to 500,263.78, 690,363.22 and 270,821

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Solution

The fourth proportional to 500,263.78, 690,363.22 and 270,821 is: 373,732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,263.78 : 690,363.22 = 270,821 : x
  2. Step 2: Convert to fraction form
    500,263.78/690,363.22 = 270,821/x
  3. Step 3: Cross multiply
    500,263.78x = 690,363.22 × 270,821
  4. Step 4: Simplify right side
    500,263.78x = 186,964,857,603.62
  5. Step 5: Solve for x
    x = 186,964,857,603.62/500,263.78
  6. Step 6: Final answer
    x = 373,732.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.