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Finding the Fourth Proportional to 469,440.96, 647,817.12 and 268,224

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Solution

The fourth proportional to 469,440.96, 647,817.12 and 268,224 is: 370,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,440.96 : 647,817.12 = 268,224 : x
  2. Step 2: Convert to fraction form
    469,440.96/647,817.12 = 268,224/x
  3. Step 3: Cross multiply
    469,440.96x = 647,817.12 × 268,224
  4. Step 4: Simplify right side
    469,440.96x = 173,760,099,194.88
  5. Step 5: Solve for x
    x = 173,760,099,194.88/469,440.96
  6. Step 6: Final answer
    x = 370,142.60

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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.