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Finding the Fourth Proportional to 392,257.49, 539,616.67 and 343,640.48

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Solution

The fourth proportional to 392,257.49, 539,616.67 and 343,640.48 is: 472,735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,257.49 : 539,616.67 = 343,640.48 : x
  2. Step 2: Convert to fraction form
    392,257.49/539,616.67 = 343,640.48/x
  3. Step 3: Cross multiply
    392,257.49x = 539,616.67 × 343,640.48
  4. Step 4: Simplify right side
    392,257.49x = 185,434,127,937.62
  5. Step 5: Solve for x
    x = 185,434,127,937.62/392,257.49
  6. Step 6: Final answer
    x = 472,735.73

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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.