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Finding the Fourth Proportional to 275,435.20, 413,152.80 and 213,227.20

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Solution

The fourth proportional to 275,435.20, 413,152.80 and 213,227.20 is: 319,840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,435.20 : 413,152.80 = 213,227.20 : x
  2. Step 2: Convert to fraction form
    275,435.20/413,152.80 = 213,227.20/x
  3. Step 3: Cross multiply
    275,435.20x = 413,152.80 × 213,227.20
  4. Step 4: Simplify right side
    275,435.20x = 88,095,414,716.16
  5. Step 5: Solve for x
    x = 88,095,414,716.16/275,435.20
  6. Step 6: Final answer
    x = 319,840.80

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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.