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Finding the Fourth Proportional to 503,251.73, 694,506.50 and 288,433.25

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Solution

The fourth proportional to 503,251.73, 694,506.50 and 288,433.25 is: 398,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,251.73 : 694,506.50 = 288,433.25 : x
  2. Step 2: Convert to fraction form
    503,251.73/694,506.50 = 288,433.25/x
  3. Step 3: Cross multiply
    503,251.73x = 694,506.50 × 288,433.25
  4. Step 4: Simplify right side
    503,251.73x = 200,318,762,026.43
  5. Step 5: Solve for x
    x = 200,318,762,026.43/503,251.73
  6. Step 6: Final answer
    x = 398,048.83

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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.