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Finding the Fourth Proportional to 509,446.98, 703,044.14 and 280,025.51

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Solution

The fourth proportional to 509,446.98, 703,044.14 and 280,025.51 is: 386,439.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,446.98 : 703,044.14 = 280,025.51 : x
  2. Step 2: Convert to fraction form
    509,446.98/703,044.14 = 280,025.51/x
  3. Step 3: Cross multiply
    509,446.98x = 703,044.14 × 280,025.51
  4. Step 4: Simplify right side
    509,446.98x = 196,870,288,940.66
  5. Step 5: Solve for x
    x = 196,870,288,940.66/509,446.98
  6. Step 6: Final answer
    x = 386,439.21

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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.