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Finding the Fourth Proportional to 427,261.48, 640,928.80 and 111,717.88

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Solution

The fourth proportional to 427,261.48, 640,928.80 and 111,717.88 is: 167,586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,261.48 : 640,928.80 = 111,717.88 : x
  2. Step 2: Convert to fraction form
    427,261.48/640,928.80 = 111,717.88/x
  3. Step 3: Cross multiply
    427,261.48x = 640,928.80 × 111,717.88
  4. Step 4: Simplify right side
    427,261.48x = 71,603,206,766.94
  5. Step 5: Solve for x
    x = 71,603,206,766.94/427,261.48
  6. Step 6: Final answer
    x = 167,586.38

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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.