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Finding the Fourth Proportional to 427,245.94, 640,905.27 and 111,702.34

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Solution

The fourth proportional to 427,245.94, 640,905.27 and 111,702.34 is: 167,563.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,245.94 : 640,905.27 = 111,702.34 : x
  2. Step 2: Convert to fraction form
    427,245.94/640,905.27 = 111,702.34/x
  3. Step 3: Cross multiply
    427,245.94x = 640,905.27 × 111,702.34
  4. Step 4: Simplify right side
    427,245.94x = 71,590,618,377.33
  5. Step 5: Solve for x
    x = 71,590,618,377.33/427,245.94
  6. Step 6: Final answer
    x = 167,563.02

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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.