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Finding the Fourth Proportional to 405,414.30, 608,195.57 and 135,516.90

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Solution

The fourth proportional to 405,414.30, 608,195.57 and 135,516.90 is: 203,300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,414.30 : 608,195.57 = 135,516.90 : x
  2. Step 2: Convert to fraction form
    405,414.30/608,195.57 = 135,516.90/x
  3. Step 3: Cross multiply
    405,414.30x = 608,195.57 × 135,516.90
  4. Step 4: Simplify right side
    405,414.30x = 82,420,777,562.55
  5. Step 5: Solve for x
    x = 82,420,777,562.55/405,414.30
  6. Step 6: Final answer
    x = 203,300.12

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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.