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Finding the Fourth Proportional to 456,372.96, 629,601.84 and 305,518.56

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Solution

The fourth proportional to 456,372.96, 629,601.84 and 305,518.56 is: 421,486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,372.96 : 629,601.84 = 305,518.56 : x
  2. Step 2: Convert to fraction form
    456,372.96/629,601.84 = 305,518.56/x
  3. Step 3: Cross multiply
    456,372.96x = 629,601.84 × 305,518.56
  4. Step 4: Simplify right side
    456,372.96x = 192,355,047,530.15
  5. Step 5: Solve for x
    x = 192,355,047,530.15/456,372.96
  6. Step 6: Final answer
    x = 421,486.51

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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.