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Finding the Fourth Proportional to 342,755.88, 472,856.52 and 206,712.48

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Solution

The fourth proportional to 342,755.88, 472,856.52 and 206,712.48 is: 285,174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,755.88 : 472,856.52 = 206,712.48 : x
  2. Step 2: Convert to fraction form
    342,755.88/472,856.52 = 206,712.48/x
  3. Step 3: Cross multiply
    342,755.88x = 472,856.52 × 206,712.48
  4. Step 4: Simplify right side
    342,755.88x = 97,745,343,933.37
  5. Step 5: Solve for x
    x = 97,745,343,933.37/342,755.88
  6. Step 6: Final answer
    x = 285,174.81

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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.