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Finding the Fourth Proportional to 398,830.80, 550,388.23 and 217,546.62

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Solution

The fourth proportional to 398,830.80, 550,388.23 and 217,546.62 is: 300,215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,830.80 : 550,388.23 = 217,546.62 : x
  2. Step 2: Convert to fraction form
    398,830.80/550,388.23 = 217,546.62/x
  3. Step 3: Cross multiply
    398,830.80x = 550,388.23 × 217,546.62
  4. Step 4: Simplify right side
    398,830.80x = 119,735,098,580.42
  5. Step 5: Solve for x
    x = 119,735,098,580.42/398,830.80
  6. Step 6: Final answer
    x = 300,215.28

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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.