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Finding the Fourth Proportional to 397,705.88, 548,834.20 and 218,857.88

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Solution

The fourth proportional to 397,705.88, 548,834.20 and 218,857.88 is: 302,023.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,705.88 : 548,834.20 = 218,857.88 : x
  2. Step 2: Convert to fraction form
    397,705.88/548,834.20 = 218,857.88/x
  3. Step 3: Cross multiply
    397,705.88x = 548,834.20 × 218,857.88
  4. Step 4: Simplify right side
    397,705.88x = 120,116,686,192.18
  5. Step 5: Solve for x
    x = 120,116,686,192.18/397,705.88
  6. Step 6: Final answer
    x = 302,023.92

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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.