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Finding the Fourth Proportional to 397,325, 548,308.50 and 218,477

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Solution

The fourth proportional to 397,325, 548,308.50 and 218,477 is: 301,498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,325 : 548,308.50 = 218,477 : x
  2. Step 2: Convert to fraction form
    397,325/548,308.50 = 218,477/x
  3. Step 3: Cross multiply
    397,325x = 548,308.50 × 218,477
  4. Step 4: Simplify right side
    397,325x = 119,792,796,154.50
  5. Step 5: Solve for x
    x = 119,792,796,154.50/397,325
  6. Step 6: Final answer
    x = 301,498.26

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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.