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Finding the Fourth Proportional to 281,042.60, 421,758.30 and 202,213.40

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Solution

The fourth proportional to 281,042.60, 421,758.30 and 202,213.40 is: 303,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,042.60 : 421,758.30 = 202,213.40 : x
  2. Step 2: Convert to fraction form
    281,042.60/421,758.30 = 202,213.40/x
  3. Step 3: Cross multiply
    281,042.60x = 421,758.30 × 202,213.40
  4. Step 4: Simplify right side
    281,042.60x = 85,285,179,821.22
  5. Step 5: Solve for x
    x = 85,285,179,821.22/281,042.60
  6. Step 6: Final answer
    x = 303,459.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.