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Finding the Fourth Proportional to 257,074.38, 385,629.93 and 79,558.56

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Solution

The fourth proportional to 257,074.38, 385,629.93 and 79,558.56 is: 119,343.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,074.38 : 385,629.93 = 79,558.56 : x
  2. Step 2: Convert to fraction form
    257,074.38/385,629.93 = 79,558.56/x
  3. Step 3: Cross multiply
    257,074.38x = 385,629.93 × 79,558.56
  4. Step 4: Simplify right side
    257,074.38x = 30,680,161,923.70
  5. Step 5: Solve for x
    x = 30,680,161,923.70/257,074.38
  6. Step 6: Final answer
    x = 119,343.52

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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.