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Finding the Fourth Proportional to 397,272, 548,235.36 and 218,424

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Solution

The fourth proportional to 397,272, 548,235.36 and 218,424 is: 301,425.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,272 : 548,235.36 = 218,424 : x
  2. Step 2: Convert to fraction form
    397,272/548,235.36 = 218,424/x
  3. Step 3: Cross multiply
    397,272x = 548,235.36 × 218,424
  4. Step 4: Simplify right side
    397,272x = 119,747,760,272.64
  5. Step 5: Solve for x
    x = 119,747,760,272.64/397,272
  6. Step 6: Final answer
    x = 301,425.12

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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.