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Finding the Fourth Proportional to 422,833.40, 634,343.40 and 123,337.42

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Solution

The fourth proportional to 422,833.40, 634,343.40 and 123,337.42 is: 185,033.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,833.40 : 634,343.40 = 123,337.42 : x
  2. Step 2: Convert to fraction form
    422,833.40/634,343.40 = 123,337.42/x
  3. Step 3: Cross multiply
    422,833.40x = 634,343.40 × 123,337.42
  4. Step 4: Simplify right side
    422,833.40x = 78,238,278,350.03
  5. Step 5: Solve for x
    x = 78,238,278,350.03/422,833.40
  6. Step 6: Final answer
    x = 185,033.34

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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.