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Finding the Fourth Proportional to 342,162.99, 472,143.74 and 189,180.51

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Solution

The fourth proportional to 342,162.99, 472,143.74 and 189,180.51 is: 261,046.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,162.99 : 472,143.74 = 189,180.51 : x
  2. Step 2: Convert to fraction form
    342,162.99/472,143.74 = 189,180.51/x
  3. Step 3: Cross multiply
    342,162.99x = 472,143.74 × 189,180.51
  4. Step 4: Simplify right side
    342,162.99x = 89,320,392,580.60
  5. Step 5: Solve for x
    x = 89,320,392,580.60/342,162.99
  6. Step 6: Final answer
    x = 261,046.33

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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.