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Finding the Fourth Proportional to 312,993, 431,952.66 and 177,028.20

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Solution

The fourth proportional to 312,993, 431,952.66 and 177,028.20 is: 244,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,993 : 431,952.66 = 177,028.20 : x
  2. Step 2: Convert to fraction form
    312,993/431,952.66 = 177,028.20/x
  3. Step 3: Cross multiply
    312,993x = 431,952.66 × 177,028.20
  4. Step 4: Simplify right side
    312,993x = 76,467,801,885.01
  5. Step 5: Solve for x
    x = 76,467,801,885.01/312,993
  6. Step 6: Final answer
    x = 244,311.54

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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.