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Finding the Fourth Proportional to 398,770.96, 550,301.16 and 219,922.96

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Solution

The fourth proportional to 398,770.96, 550,301.16 and 219,922.96 is: 303,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,770.96 : 550,301.16 = 219,922.96 : x
  2. Step 2: Convert to fraction form
    398,770.96/550,301.16 = 219,922.96/x
  3. Step 3: Cross multiply
    398,770.96x = 550,301.16 × 219,922.96
  4. Step 4: Simplify right side
    398,770.96x = 121,023,859,998.63
  5. Step 5: Solve for x
    x = 121,023,859,998.63/398,770.96
  6. Step 6: Final answer
    x = 303,492.16

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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.