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Finding the Fourth Proportional to 257,322.28, 385,728 and 122,149.48

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Solution

The fourth proportional to 257,322.28, 385,728 and 122,149.48 is: 183,102.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,322.28 : 385,728 = 122,149.48 : x
  2. Step 2: Convert to fraction form
    257,322.28/385,728 = 122,149.48/x
  3. Step 3: Cross multiply
    257,322.28x = 385,728 × 122,149.48
  4. Step 4: Simplify right side
    257,322.28x = 47,116,474,621.44
  5. Step 5: Solve for x
    x = 47,116,474,621.44/257,322.28
  6. Step 6: Final answer
    x = 183,102.97

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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.