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Finding the Fourth Proportional to 397,708.76, 548,821.50 and 218,849.24

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Solution

The fourth proportional to 397,708.76, 548,821.50 and 218,849.24 is: 302,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,708.76 : 548,821.50 = 218,849.24 : x
  2. Step 2: Convert to fraction form
    397,708.76/548,821.50 = 218,849.24/x
  3. Step 3: Cross multiply
    397,708.76x = 548,821.50 × 218,849.24
  4. Step 4: Simplify right side
    397,708.76x = 120,109,168,170.66
  5. Step 5: Solve for x
    x = 120,109,168,170.66/397,708.76
  6. Step 6: Final answer
    x = 302,002.82

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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.