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Finding the Fourth Proportional to 405,568, 608,308.19 and 135,665.54

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Solution

The fourth proportional to 405,568, 608,308.19 and 135,665.54 is: 203,483.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,568 : 608,308.19 = 135,665.54 : x
  2. Step 2: Convert to fraction form
    405,568/608,308.19 = 135,665.54/x
  3. Step 3: Cross multiply
    405,568x = 608,308.19 × 135,665.54
  4. Step 4: Simplify right side
    405,568x = 82,526,459,082.77
  5. Step 5: Solve for x
    x = 82,526,459,082.77/405,568
  6. Step 6: Final answer
    x = 203,483.66

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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.