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Finding the Fourth Proportional to 509,806.10, 703,484.09 and 280,359.43

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Solution

The fourth proportional to 509,806.10, 703,484.09 and 280,359.43 is: 386,869.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,806.10 : 703,484.09 = 280,359.43 : x
  2. Step 2: Convert to fraction form
    509,806.10/703,484.09 = 280,359.43/x
  3. Step 3: Cross multiply
    509,806.10x = 703,484.09 × 280,359.43
  4. Step 4: Simplify right side
    509,806.10x = 197,228,396,377.31
  5. Step 5: Solve for x
    x = 197,228,396,377.31/509,806.10
  6. Step 6: Final answer
    x = 386,869.43

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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.