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Finding the Fourth Proportional to 542,135.42, 748,151.27 and 300,422

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Solution

The fourth proportional to 542,135.42, 748,151.27 and 300,422 is: 414,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,135.42 : 748,151.27 = 300,422 : x
  2. Step 2: Convert to fraction form
    542,135.42/748,151.27 = 300,422/x
  3. Step 3: Cross multiply
    542,135.42x = 748,151.27 × 300,422
  4. Step 4: Simplify right side
    542,135.42x = 224,761,100,835.94
  5. Step 5: Solve for x
    x = 224,761,100,835.94/542,135.42
  6. Step 6: Final answer
    x = 414,584.79

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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.