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Finding the Fourth Proportional to 397,327, 548,311.26 and 218,479

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Solution

The fourth proportional to 397,327, 548,311.26 and 218,479 is: 301,501.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,327 : 548,311.26 = 218,479 : x
  2. Step 2: Convert to fraction form
    397,327/548,311.26 = 218,479/x
  3. Step 3: Cross multiply
    397,327x = 548,311.26 × 218,479
  4. Step 4: Simplify right side
    397,327x = 119,794,495,773.54
  5. Step 5: Solve for x
    x = 119,794,495,773.54/397,327
  6. Step 6: Final answer
    x = 301,501.02

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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.