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Finding the Fourth Proportional to 542,138.42, 748,155.41 and 300,425

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Solution

The fourth proportional to 542,138.42, 748,155.41 and 300,425 is: 414,588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,138.42 : 748,155.41 = 300,425 : x
  2. Step 2: Convert to fraction form
    542,138.42/748,155.41 = 300,425/x
  3. Step 3: Cross multiply
    542,138.42x = 748,155.41 × 300,425
  4. Step 4: Simplify right side
    542,138.42x = 224,764,589,049.25
  5. Step 5: Solve for x
    x = 224,764,589,049.25/542,138.42
  6. Step 6: Final answer
    x = 414,588.93

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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.