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Finding the Fourth Proportional to 397,158.97, 548,083.05 and 215,871.31

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Solution

The fourth proportional to 397,158.97, 548,083.05 and 215,871.31 is: 297,904.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,158.97 : 548,083.05 = 215,871.31 : x
  2. Step 2: Convert to fraction form
    397,158.97/548,083.05 = 215,871.31/x
  3. Step 3: Cross multiply
    397,158.97x = 548,083.05 × 215,871.31
  4. Step 4: Simplify right side
    397,158.97x = 118,315,405,992.30
  5. Step 5: Solve for x
    x = 118,315,405,992.30/397,158.97
  6. Step 6: Final answer
    x = 297,904.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.