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Finding the Fourth Proportional to 405,353.43, 608,055.22 and 135,505.85

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Solution

The fourth proportional to 405,353.43, 608,055.22 and 135,505.85 is: 203,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,353.43 : 608,055.22 = 135,505.85 : x
  2. Step 2: Convert to fraction form
    405,353.43/608,055.22 = 135,505.85/x
  3. Step 3: Cross multiply
    405,353.43x = 608,055.22 × 135,505.85
  4. Step 4: Simplify right side
    405,353.43x = 82,395,039,433.04
  5. Step 5: Solve for x
    x = 82,395,039,433.04/405,353.43
  6. Step 6: Final answer
    x = 203,267.16

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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.