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Finding the Fourth Proportional to 412,082.60, 618,123.90 and 252,650.30

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Solution

The fourth proportional to 412,082.60, 618,123.90 and 252,650.30 is: 378,975.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,082.60 : 618,123.90 = 252,650.30 : x
  2. Step 2: Convert to fraction form
    412,082.60/618,123.90 = 252,650.30/x
  3. Step 3: Cross multiply
    412,082.60x = 618,123.90 × 252,650.30
  4. Step 4: Simplify right side
    412,082.60x = 156,169,188,772.17
  5. Step 5: Solve for x
    x = 156,169,188,772.17/412,082.60
  6. Step 6: Final answer
    x = 378,975.45

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1.5x scale

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.