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Finding the Fourth Proportional to 509,906.64, 703,672.57 and 280,487.43

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Solution

The fourth proportional to 509,906.64, 703,672.57 and 280,487.43 is: 387,073.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,906.64 : 703,672.57 = 280,487.43 : x
  2. Step 2: Convert to fraction form
    509,906.64/703,672.57 = 280,487.43/x
  3. Step 3: Cross multiply
    509,906.64x = 703,672.57 × 280,487.43
  4. Step 4: Simplify right side
    509,906.64x = 197,371,310,720.80
  5. Step 5: Solve for x
    x = 197,371,310,720.80/509,906.64
  6. Step 6: Final answer
    x = 387,073.43

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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.