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Finding the Fourth Proportional to 352,642.80, 529,266.60 and 142,431.60

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Solution

The fourth proportional to 352,642.80, 529,266.60 and 142,431.60 is: 213,769.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,642.80 : 529,266.60 = 142,431.60 : x
  2. Step 2: Convert to fraction form
    352,642.80/529,266.60 = 142,431.60/x
  3. Step 3: Cross multiply
    352,642.80x = 529,266.60 × 142,431.60
  4. Step 4: Simplify right side
    352,642.80x = 75,384,288,664.56
  5. Step 5: Solve for x
    x = 75,384,288,664.56/352,642.80
  6. Step 6: Final answer
    x = 213,769.54

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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.