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Finding the Fourth Proportional to 412,005.87, 568,274.15 and 378,123.57

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Solution

The fourth proportional to 412,005.87, 568,274.15 and 378,123.57 is: 521,540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,005.87 : 568,274.15 = 378,123.57 : x
  2. Step 2: Convert to fraction form
    412,005.87/568,274.15 = 378,123.57/x
  3. Step 3: Cross multiply
    412,005.87x = 568,274.15 × 378,123.57
  4. Step 4: Simplify right side
    412,005.87x = 214,877,848,446.10
  5. Step 5: Solve for x
    x = 214,877,848,446.10/412,005.87
  6. Step 6: Final answer
    x = 521,540.75

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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.