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Finding the Fourth Proportional to 405,892.38, 608,896.89 and 125,431.50

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Solution

The fourth proportional to 405,892.38, 608,896.89 and 125,431.50 is: 188,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,892.38 : 608,896.89 = 125,431.50 : x
  2. Step 2: Convert to fraction form
    405,892.38/608,896.89 = 125,431.50/x
  3. Step 3: Cross multiply
    405,892.38x = 608,896.89 × 125,431.50
  4. Step 4: Simplify right side
    405,892.38x = 76,374,850,258.04
  5. Step 5: Solve for x
    x = 76,374,850,258.04/405,892.38
  6. Step 6: Final answer
    x = 188,165.27

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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.