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Finding the Fourth Proportional to 665,105.12, 997,751.64 and 215,675

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Solution

The fourth proportional to 665,105.12, 997,751.64 and 215,675 is: 323,542.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,105.12 : 997,751.64 = 215,675 : x
  2. Step 2: Convert to fraction form
    665,105.12/997,751.64 = 215,675/x
  3. Step 3: Cross multiply
    665,105.12x = 997,751.64 × 215,675
  4. Step 4: Simplify right side
    665,105.12x = 215,190,084,957
  5. Step 5: Solve for x
    x = 215,190,084,957/665,105.12
  6. Step 6: Final answer
    x = 323,542.97

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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.