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Finding the Fourth Proportional to 290,542.44, 435,801.78 and 80,175

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Solution

The fourth proportional to 290,542.44, 435,801.78 and 80,175 is: 120,259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,542.44 : 435,801.78 = 80,175 : x
  2. Step 2: Convert to fraction form
    290,542.44/435,801.78 = 80,175/x
  3. Step 3: Cross multiply
    290,542.44x = 435,801.78 × 80,175
  4. Step 4: Simplify right side
    290,542.44x = 34,940,407,711.50
  5. Step 5: Solve for x
    x = 34,940,407,711.50/290,542.44
  6. Step 6: Final answer
    x = 120,259.22

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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.