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Finding the Fourth Proportional to 327,994, 491,595.72 and 138,381.04

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Solution

The fourth proportional to 327,994, 491,595.72 and 138,381.04 is: 207,404.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,994 : 491,595.72 = 138,381.04 : x
  2. Step 2: Convert to fraction form
    327,994/491,595.72 = 138,381.04/x
  3. Step 3: Cross multiply
    327,994x = 491,595.72 × 138,381.04
  4. Step 4: Simplify right side
    327,994x = 68,027,526,993.15
  5. Step 5: Solve for x
    x = 68,027,526,993.15/327,994
  6. Step 6: Final answer
    x = 207,404.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.