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Finding the Fourth Proportional to 397,144, 548,058.72 and 218,296

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Solution

The fourth proportional to 397,144, 548,058.72 and 218,296 is: 301,248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,144 : 548,058.72 = 218,296 : x
  2. Step 2: Convert to fraction form
    397,144/548,058.72 = 218,296/x
  3. Step 3: Cross multiply
    397,144x = 548,058.72 × 218,296
  4. Step 4: Simplify right side
    397,144x = 119,639,026,341.12
  5. Step 5: Solve for x
    x = 119,639,026,341.12/397,144
  6. Step 6: Final answer
    x = 301,248.48

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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.