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Finding the Fourth Proportional to 522,200, 720,640.40 and 283,736

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Solution

The fourth proportional to 522,200, 720,640.40 and 283,736 is: 391,558.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,200 : 720,640.40 = 283,736 : x
  2. Step 2: Convert to fraction form
    522,200/720,640.40 = 283,736/x
  3. Step 3: Cross multiply
    522,200x = 720,640.40 × 283,736
  4. Step 4: Simplify right side
    522,200x = 204,471,624,534.40
  5. Step 5: Solve for x
    x = 204,471,624,534.40/522,200
  6. Step 6: Final answer
    x = 391,558.07

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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.