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Finding the Fourth Proportional to 503,309.70, 694,338.57 and 299,244.78

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Solution

The fourth proportional to 503,309.70, 694,338.57 and 299,244.78 is: 412,821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,309.70 : 694,338.57 = 299,244.78 : x
  2. Step 2: Convert to fraction form
    503,309.70/694,338.57 = 299,244.78/x
  3. Step 3: Cross multiply
    503,309.70x = 694,338.57 × 299,244.78
  4. Step 4: Simplify right side
    503,309.70x = 207,777,192,625.17
  5. Step 5: Solve for x
    x = 207,777,192,625.17/503,309.70
  6. Step 6: Final answer
    x = 412,821.75

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1.5x scale

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.