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Finding the Fourth Proportional to 422,242.80, 633,203.82 and 137,865.84

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Solution

The fourth proportional to 422,242.80, 633,203.82 and 137,865.84 is: 206,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,242.80 : 633,203.82 = 137,865.84 : x
  2. Step 2: Convert to fraction form
    422,242.80/633,203.82 = 137,865.84/x
  3. Step 3: Cross multiply
    422,242.80x = 633,203.82 × 137,865.84
  4. Step 4: Simplify right side
    422,242.80x = 87,297,176,535.51
  5. Step 5: Solve for x
    x = 87,297,176,535.51/422,242.80
  6. Step 6: Final answer
    x = 206,746.39

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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.