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Finding the Fourth Proportional to 281,446.70, 421,248.45 and 218,777.90

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Solution

The fourth proportional to 281,446.70, 421,248.45 and 218,777.90 is: 327,450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,446.70 : 421,248.45 = 218,777.90 : x
  2. Step 2: Convert to fraction form
    281,446.70/421,248.45 = 218,777.90/x
  3. Step 3: Cross multiply
    281,446.70x = 421,248.45 × 218,777.90
  4. Step 4: Simplify right side
    281,446.70x = 92,159,851,269.26
  5. Step 5: Solve for x
    x = 92,159,851,269.26/281,446.70
  6. Step 6: Final answer
    x = 327,450.46

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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.