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Finding the Fourth Proportional to 422,833.94, 634,344.21 and 123,337.97

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Solution

The fourth proportional to 422,833.94, 634,344.21 and 123,337.97 is: 185,034.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,833.94 : 634,344.21 = 123,337.97 : x
  2. Step 2: Convert to fraction form
    422,833.94/634,344.21 = 123,337.97/x
  3. Step 3: Cross multiply
    422,833.94x = 634,344.21 × 123,337.97
  4. Step 4: Simplify right side
    422,833.94x = 78,238,723,970.93
  5. Step 5: Solve for x
    x = 78,238,723,970.93/422,833.94
  6. Step 6: Final answer
    x = 185,034.16

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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.