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Finding the Fourth Proportional to 422,865.80, 634,287.98 and 123,348.98

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Solution

The fourth proportional to 422,865.80, 634,287.98 and 123,348.98 is: 185,020.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,865.80 : 634,287.98 = 123,348.98 : x
  2. Step 2: Convert to fraction form
    422,865.80/634,287.98 = 123,348.98/x
  3. Step 3: Cross multiply
    422,865.80x = 634,287.98 × 123,348.98
  4. Step 4: Simplify right side
    422,865.80x = 78,238,772,496.19
  5. Step 5: Solve for x
    x = 78,238,772,496.19/422,865.80
  6. Step 6: Final answer
    x = 185,020.34

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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.