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Finding the Fourth Proportional to 427,248.96, 640,917.36 and 161,233.44

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Solution

The fourth proportional to 427,248.96, 640,917.36 and 161,233.44 is: 241,866.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,248.96 : 640,917.36 = 161,233.44 : x
  2. Step 2: Convert to fraction form
    427,248.96/640,917.36 = 161,233.44/x
  3. Step 3: Cross multiply
    427,248.96x = 640,917.36 × 161,233.44
  4. Step 4: Simplify right side
    427,248.96x = 103,337,310,708.52
  5. Step 5: Solve for x
    x = 103,337,310,708.52/427,248.96
  6. Step 6: Final answer
    x = 241,866.73

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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.