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Finding the Fourth Proportional to 281,214.60, 421,821.90 and 259,563.30

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Solution

The fourth proportional to 281,214.60, 421,821.90 and 259,563.30 is: 389,344.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,214.60 : 421,821.90 = 259,563.30 : x
  2. Step 2: Convert to fraction form
    281,214.60/421,821.90 = 259,563.30/x
  3. Step 3: Cross multiply
    281,214.60x = 421,821.90 × 259,563.30
  4. Step 4: Simplify right side
    281,214.60x = 109,489,484,376.27
  5. Step 5: Solve for x
    x = 109,489,484,376.27/281,214.60
  6. Step 6: Final answer
    x = 389,344.95

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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.