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Finding the Fourth Proportional to 312,883.78, 431,777 and 176,944.42

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Solution

The fourth proportional to 312,883.78, 431,777 and 176,944.42 is: 244,181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,883.78 : 431,777 = 176,944.42 : x
  2. Step 2: Convert to fraction form
    312,883.78/431,777 = 176,944.42/x
  3. Step 3: Cross multiply
    312,883.78x = 431,777 × 176,944.42
  4. Step 4: Simplify right side
    312,883.78x = 76,400,530,834.34
  5. Step 5: Solve for x
    x = 76,400,530,834.34/312,883.78
  6. Step 6: Final answer
    x = 244,181.82

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1.5x scale

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.