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Finding the Fourth Proportional to 509,806.34, 703,550.81 and 280,381.37

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Solution

The fourth proportional to 509,806.34, 703,550.81 and 280,381.37 is: 386,936.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,806.34 : 703,550.81 = 280,381.37 : x
  2. Step 2: Convert to fraction form
    509,806.34/703,550.81 = 280,381.37/x
  3. Step 3: Cross multiply
    509,806.34x = 703,550.81 × 280,381.37
  4. Step 4: Simplify right side
    509,806.34x = 197,262,535,052.75
  5. Step 5: Solve for x
    x = 197,262,535,052.75/509,806.34
  6. Step 6: Final answer
    x = 386,936.22

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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.