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Finding the Fourth Proportional to 394,287.84, 543,550.76 and 280,913.76

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Solution

The fourth proportional to 394,287.84, 543,550.76 and 280,913.76 is: 387,257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,287.84 : 543,550.76 = 280,913.76 : x
  2. Step 2: Convert to fraction form
    394,287.84/543,550.76 = 280,913.76/x
  3. Step 3: Cross multiply
    394,287.84x = 543,550.76 × 280,913.76
  4. Step 4: Simplify right side
    394,287.84x = 152,690,887,742.46
  5. Step 5: Solve for x
    x = 152,690,887,742.46/394,287.84
  6. Step 6: Final answer
    x = 387,257.41

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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.