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Finding the Fourth Proportional to 415,185.85, 622,972.56 and 162,400.85

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Solution

The fourth proportional to 415,185.85, 622,972.56 and 162,400.85 is: 243,677.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,185.85 : 622,972.56 = 162,400.85 : x
  2. Step 2: Convert to fraction form
    415,185.85/622,972.56 = 162,400.85/x
  3. Step 3: Cross multiply
    415,185.85x = 622,972.56 × 162,400.85
  4. Step 4: Simplify right side
    415,185.85x = 101,171,270,155.81
  5. Step 5: Solve for x
    x = 101,171,270,155.81/415,185.85
  6. Step 6: Final answer
    x = 243,677.07

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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.