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Finding the Fourth Proportional to 422,977.65, 634,503.78 and 119,374.51

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Solution

The fourth proportional to 422,977.65, 634,503.78 and 119,374.51 is: 179,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,977.65 : 634,503.78 = 119,374.51 : x
  2. Step 2: Convert to fraction form
    422,977.65/634,503.78 = 119,374.51/x
  3. Step 3: Cross multiply
    422,977.65x = 634,503.78 × 119,374.51
  4. Step 4: Simplify right side
    422,977.65x = 75,743,577,434.08
  5. Step 5: Solve for x
    x = 75,743,577,434.08/422,977.65
  6. Step 6: Final answer
    x = 179,072.29

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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.